Pre-Algebra Examples

$2 x^{4} + 35 x^{2} + 8 = 30 x + 15 x^{3}$

Step 1

Move all terms containing $x$ to the left side of the equation.

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Step 1.1

Subtract $30 x$ from both sides of the equation.

$2 x^{4} + 35 x^{2} + 8 - 30 x = 15 x^{3}$

Step 1.2

Subtract $15 x^{3}$ from both sides of the equation.

$2 x^{4} + 35 x^{2} + 8 - 30 x - 15 x^{3} = 0$

Step 2

Factor the left side of the equation.

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Step 2.1

Reorder terms.

$2 x^{4} - 15 x^{3} + 35 x^{2} - 30 x + 8 = 0$

Step 2.2

Factor $2 x^{4} - 15 x^{3} + 35 x^{2} - 30 x + 8$ using the rational roots test.

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Step 2.2.1

If a polynomial function has integer coefficients, then every rational zero will have the form $\frac{p}{q}$ where $p$ is a factor of the constant and $q$ is a factor of the leading coefficient.

$p = \pm 1, \pm 8, \pm 2, \pm 4$

$q = \pm 1, \pm 2$

Step 2.2.2

Find every combination of $\pm \frac{p}{q}$ . These are the possible roots of the polynomial function.

$\pm 1, \pm 0.5, \pm 8, \pm 4, \pm 2$

Step 2.2.3

Substitute $1$ and simplify the expression. In this case, the expression is equal to $0$ so $1$ is a root of the polynomial.

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Step 2.2.3.1

Substitute $1$ into the polynomial.

$2 \cdot 1^{4} - 15 \cdot 1^{3} + 35 \cdot 1^{2} - 30 \cdot 1 + 8$

Step 2.2.3.2

Raise $1$ to the power of $4$ .

$2 \cdot 1 - 15 \cdot 1^{3} + 35 \cdot 1^{2} - 30 \cdot 1 + 8$

Step 2.2.3.3

Multiply $2$ by $1$ .

$2 - 15 \cdot 1^{3} + 35 \cdot 1^{2} - 30 \cdot 1 + 8$

Step 2.2.3.4

Raise $1$ to the power of $3$ .

$2 - 15 \cdot 1 + 35 \cdot 1^{2} - 30 \cdot 1 + 8$

Step 2.2.3.5

Multiply $- 15$ by $1$ .

$2 - 15 + 35 \cdot 1^{2} - 30 \cdot 1 + 8$

Step 2.2.3.6

Subtract $15$ from $2$ .

$- 13 + 35 \cdot 1^{2} - 30 \cdot 1 + 8$

Step 2.2.3.7

Raise $1$ to the power of $2$ .

$- 13 + 35 \cdot 1 - 30 \cdot 1 + 8$

Step 2.2.3.8

Multiply $35$ by $1$ .

$- 13 + 35 - 30 \cdot 1 + 8$

Step 2.2.3.9

Add $- 13$ and $35$ .

$22 - 30 \cdot 1 + 8$

Step 2.2.3.10

Multiply $- 30$ by $1$ .

$22 - 30 + 8$

Step 2.2.3.11

Subtract $30$ from $22$ .

$- 8 + 8$

Step 2.2.3.12

Add $- 8$ and $8$ .

$0$

Step 2.2.4

Since $1$ is a known root, divide the polynomial by $x - 1$ to find the quotient polynomial. This polynomial can then be used to find the remaining roots.

$\frac{2 x^{4} - 15 x^{3} + 35 x^{2} - 30 x + 8}{x - 1}$

Step 2.2.5

Divide $2 x^{4} - 15 x^{3} + 35 x^{2} - 30 x + 8$ by $x - 1$ .

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Step 2.2.5.1

Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of $0$ .

$x$

$1$

$2 x^{4}$

$15 x^{3}$

$35 x^{2}$

$30 x$

$8$

Step 2.2.5.2

Divide the highest order term in the dividend $2 x^{4}$ by the highest order term in divisor $x$ .

$2 x^{3}$

$x$

$1$

$2 x^{4}$

$15 x^{3}$

$35 x^{2}$

$30 x$

$8$

Step 2.2.5.3

Multiply the new quotient term by the divisor.

$2 x^{3}$

$x$

$1$

$2 x^{4}$

$15 x^{3}$

$35 x^{2}$

$30 x$

$8$

$2 x^{4}$

$2 x^{3}$

Step 2.2.5.4

The expression needs to be subtracted from the dividend, so change all the signs in $2 x^{4} - 2 x^{3}$

$2 x^{3}$

$x$

$1$

$2 x^{4}$

$15 x^{3}$

$35 x^{2}$

$30 x$

$8$

$2 x^{4}$

$2 x^{3}$

Step 2.2.5.5

After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.

$2 x^{3}$

$x$

$1$

$2 x^{4}$

$15 x^{3}$

$35 x^{2}$

$30 x$

$8$

$2 x^{4}$

$2 x^{3}$

$13 x^{3}$

Step 2.2.5.6

Pull the next terms from the original dividend down into the current dividend.

$2 x^{3}$

$x$

$1$

$2 x^{4}$

$15 x^{3}$

$35 x^{2}$

$30 x$

$8$

$2 x^{4}$

$2 x^{3}$

$13 x^{3}$

$35 x^{2}$

Step 2.2.5.7

Divide the highest order term in the dividend $- 13 x^{3}$ by the highest order term in divisor $x$ .

$2 x^{3}$

$13 x^{2}$

$x$

$1$

$2 x^{4}$

$15 x^{3}$

$35 x^{2}$

$30 x$

$8$

$2 x^{4}$

$2 x^{3}$

$13 x^{3}$

$35 x^{2}$

Step 2.2.5.8

Multiply the new quotient term by the divisor.

$2 x^{3}$

$13 x^{2}$

$x$

$1$

$2 x^{4}$

$15 x^{3}$

$35 x^{2}$

$30 x$

$8$

$2 x^{4}$

$2 x^{3}$

$13 x^{3}$

$35 x^{2}$

$13 x^{3}$

$13 x^{2}$

Step 2.2.5.9

The expression needs to be subtracted from the dividend, so change all the signs in $- 13 x^{3} + 13 x^{2}$

$2 x^{3}$

$13 x^{2}$

$x$

$1$

$2 x^{4}$

$15 x^{3}$

$35 x^{2}$

$30 x$

$8$

$2 x^{4}$

$2 x^{3}$

$13 x^{3}$

$35 x^{2}$

$13 x^{3}$

$13 x^{2}$

Step 2.2.5.10

After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.

$2 x^{3}$

$13 x^{2}$

$x$

$1$

$2 x^{4}$

$15 x^{3}$

$35 x^{2}$

$30 x$

$8$

$2 x^{4}$

$2 x^{3}$

$13 x^{3}$

$35 x^{2}$

$13 x^{3}$

$13 x^{2}$

$22 x^{2}$

Step 2.2.5.11

Pull the next terms from the original dividend down into the current dividend.

$2 x^{3}$

$13 x^{2}$

$x$

$1$

$2 x^{4}$

$15 x^{3}$

$35 x^{2}$

$30 x$

$8$

$2 x^{4}$

$2 x^{3}$

$13 x^{3}$

$35 x^{2}$

$13 x^{3}$

$13 x^{2}$

$22 x^{2}$

$30 x$

Step 2.2.5.12

Divide the highest order term in the dividend $22 x^{2}$ by the highest order term in divisor $x$ .

$2 x^{3}$

$13 x^{2}$

$22 x$

$x$

$1$

$2 x^{4}$

$15 x^{3}$

$35 x^{2}$

$30 x$

$8$

$2 x^{4}$

$2 x^{3}$

$13 x^{3}$

$35 x^{2}$

$13 x^{3}$

$13 x^{2}$

$22 x^{2}$

$30 x$

Step 2.2.5.13

Multiply the new quotient term by the divisor.

$2 x^{3}$

$13 x^{2}$

$22 x$

$x$

$1$

$2 x^{4}$

$15 x^{3}$

$35 x^{2}$

$30 x$

$8$

$2 x^{4}$

$2 x^{3}$

$13 x^{3}$

$35 x^{2}$

$13 x^{3}$

$13 x^{2}$

$22 x^{2}$

$30 x$

$22 x^{2}$

$22 x$

Step 2.2.5.14

The expression needs to be subtracted from the dividend, so change all the signs in $22 x^{2} - 22 x$

$2 x^{3}$

$13 x^{2}$

$22 x$

$x$

$1$

$2 x^{4}$

$15 x^{3}$

$35 x^{2}$

$30 x$

$8$

$2 x^{4}$

$2 x^{3}$

$13 x^{3}$

$35 x^{2}$

$13 x^{3}$

$13 x^{2}$

$22 x^{2}$

$30 x$

$22 x^{2}$

$22 x$

Step 2.2.5.15

After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.

$2 x^{3}$

$13 x^{2}$

$22 x$

$x$

$1$

$2 x^{4}$

$15 x^{3}$

$35 x^{2}$

$30 x$

$8$

$2 x^{4}$

$2 x^{3}$

$13 x^{3}$

$35 x^{2}$

$13 x^{3}$

$13 x^{2}$

$22 x^{2}$

$30 x$

$22 x^{2}$

$22 x$

$8 x$

Step 2.2.5.16

Pull the next terms from the original dividend down into the current dividend.

$2 x^{3}$

$13 x^{2}$

$22 x$

$x$

$1$

$2 x^{4}$

$15 x^{3}$

$35 x^{2}$

$30 x$

$8$

$2 x^{4}$

$2 x^{3}$

$13 x^{3}$

$35 x^{2}$

$13 x^{3}$

$13 x^{2}$

$22 x^{2}$

$30 x$

$22 x^{2}$

$22 x$

$8 x$

$8$

Step 2.2.5.17

Divide the highest order term in the dividend $- 8 x$ by the highest order term in divisor $x$ .

$2 x^{3}$

$13 x^{2}$

$22 x$

$8$

$x$

$1$

$2 x^{4}$

$15 x^{3}$

$35 x^{2}$

$30 x$

$8$

$2 x^{4}$

$2 x^{3}$

$13 x^{3}$

$35 x^{2}$

$13 x^{3}$

$13 x^{2}$

$22 x^{2}$

$30 x$

$22 x^{2}$

$22 x$

$8 x$

$8$

Step 2.2.5.18

Multiply the new quotient term by the divisor.

$2 x^{3}$

$13 x^{2}$

$22 x$

$8$

$x$

$1$

$2 x^{4}$

$15 x^{3}$

$35 x^{2}$

$30 x$

$8$

$2 x^{4}$

$2 x^{3}$

$13 x^{3}$

$35 x^{2}$

$13 x^{3}$

$13 x^{2}$

$22 x^{2}$

$30 x$

$22 x^{2}$

$22 x$

$8 x$

$8$

$8 x$

$8$

Step 2.2.5.19

The expression needs to be subtracted from the dividend, so change all the signs in $- 8 x + 8$

$2 x^{3}$

$13 x^{2}$

$22 x$

$8$

$x$

$1$

$2 x^{4}$

$15 x^{3}$

$35 x^{2}$

$30 x$

$8$

$2 x^{4}$

$2 x^{3}$

$13 x^{3}$

$35 x^{2}$

$13 x^{3}$

$13 x^{2}$

$22 x^{2}$

$30 x$

$22 x^{2}$

$22 x$

$8 x$

$8$

$8 x$

$8$

Step 2.2.5.20

After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.

$2 x^{3}$

$13 x^{2}$

$22 x$

$8$

$x$

$1$

$2 x^{4}$

$15 x^{3}$

$35 x^{2}$

$30 x$

$8$

$2 x^{4}$

$2 x^{3}$

$13 x^{3}$

$35 x^{2}$

$13 x^{3}$

$13 x^{2}$

$22 x^{2}$

$30 x$

$22 x^{2}$

$22 x$

$8 x$

$8$

$8 x$

$8$

$0$

Step 2.2.5.21

Since the remander is $0$ , the final answer is the quotient.

$2 x^{3} - 13 x^{2} + 22 x - 8$

Step 2.2.6

Write $2 x^{4} - 15 x^{3} + 35 x^{2} - 30 x + 8$ as a set of factors.

$(x - 1) (2 x^{3} - 13 x^{2} + 22 x - 8) = 0$

Step 3

If any individual factor on the left side of the equation is equal to $0$ , the entire expression will be equal to $0$ .

$x - 1 = 0$

$2 x^{3} - 13 x^{2} + 22 x - 8 = 0$

Step 4

Set $x - 1$ equal to $0$ and solve for $x$ .

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Step 4.1

Set $x - 1$ equal to $0$ .

$x - 1 = 0$

Step 4.2

Add $1$ to both sides of the equation.

$x = 1$

Step 5

Set $2 x^{3} - 13 x^{2} + 22 x - 8$ equal to $0$ and solve for $x$ .

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Step 5.1

Set $2 x^{3} - 13 x^{2} + 22 x - 8$ equal to $0$ .

$2 x^{3} - 13 x^{2} + 22 x - 8 = 0$

Step 5.2

Solve $2 x^{3} - 13 x^{2} + 22 x - 8 = 0$ for $x$ .

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Step 5.2.1

Factor the left side of the equation.

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Step 5.2.1.1

Factor $2 x^{3} - 13 x^{2} + 22 x - 8$ using the rational roots test.

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Step 5.2.1.1.1

If a polynomial function has integer coefficients, then every rational zero will have the form $\frac{p}{q}$ where $p$ is a factor of the constant and $q$ is a factor of the leading coefficient.

$p = \pm 1, \pm 8, \pm 2, \pm 4$

$q = \pm 1, \pm 2$

Step 5.2.1.1.2

Find every combination of $\pm \frac{p}{q}$ . These are the possible roots of the polynomial function.

$\pm 1, \pm 0.5, \pm 8, \pm 4, \pm 2$

Step 5.2.1.1.3

Substitute $0.5$ and simplify the expression. In this case, the expression is equal to $0$ so $0.5$ is a root of the polynomial.

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Step 5.2.1.1.3.1

Substitute $0.5$ into the polynomial.

$2 \cdot {0.5}^{3} - 13 \cdot {0.5}^{2} + 22 \cdot 0.5 - 8$

Step 5.2.1.1.3.2

Raise $0.5$ to the power of $3$ .

$2 \cdot 0.125 - 13 \cdot {0.5}^{2} + 22 \cdot 0.5 - 8$

Step 5.2.1.1.3.3

Multiply $2$ by $0.125$ .

$0.25 - 13 \cdot {0.5}^{2} + 22 \cdot 0.5 - 8$

Step 5.2.1.1.3.4

Raise $0.5$ to the power of $2$ .

$0.25 - 13 \cdot 0.25 + 22 \cdot 0.5 - 8$

Step 5.2.1.1.3.5

Multiply $- 13$ by $0.25$ .

$0.25 - 3.25 + 22 \cdot 0.5 - 8$

Step 5.2.1.1.3.6

Subtract $3.25$ from $0.25$ .

$- 3 + 22 \cdot 0.5 - 8$

Step 5.2.1.1.3.7

Multiply $22$ by $0.5$ .

$- 3 + 11 - 8$

Step 5.2.1.1.3.8

Add $- 3$ and $11$ .

$8 - 8$

Step 5.2.1.1.3.9

Subtract $8$ from $8$ .

$0$

Step 5.2.1.1.4

Since $0.5$ is a known root, divide the polynomial by $2 x - 1$ to find the quotient polynomial. This polynomial can then be used to find the remaining roots.

$\frac{2 x^{3} - 13 x^{2} + 22 x - 8}{2 x - 1}$

Step 5.2.1.1.5

Divide $2 x^{3} - 13 x^{2} + 22 x - 8$ by $2 x - 1$ .

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Step 5.2.1.1.5.1

Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of $0$ .

$2 x$

$1$

$2 x^{3}$

$13 x^{2}$

$22 x$

$8$

Step 5.2.1.1.5.2

Divide the highest order term in the dividend $2 x^{3}$ by the highest order term in divisor $2 x$ .

					$x^{2}$
	$2 x$	-	$1$		$2 x^{3}$	-	$13 x^{2}$	+	$22 x$	-	$8$

Step 5.2.1.1.5.3

Multiply the new quotient term by the divisor.

				$x^{2}$
$2 x$	-	$1$		$2 x^{3}$	-	$13 x^{2}$	+	$22 x$	-	$8$
			+	$2 x^{3}$	-	$x^{2}$

Step 5.2.1.1.5.4

The expression needs to be subtracted from the dividend, so change all the signs in $2 x^{3} - x^{2}$

				$x^{2}$
$2 x$	-	$1$		$2 x^{3}$	-	$13 x^{2}$	+	$22 x$	-	$8$
			-	$2 x^{3}$	+	$x^{2}$

Step 5.2.1.1.5.5

After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.

				$x^{2}$
$2 x$	-	$1$		$2 x^{3}$	-	$13 x^{2}$	+	$22 x$	-	$8$
			-	$2 x^{3}$	+	$x^{2}$
					-	$12 x^{2}$

Step 5.2.1.1.5.6

Pull the next terms from the original dividend down into the current dividend.

				$x^{2}$
$2 x$	-	$1$		$2 x^{3}$	-	$13 x^{2}$	+	$22 x$	-	$8$
			-	$2 x^{3}$	+	$x^{2}$
					-	$12 x^{2}$	+	$22 x$

Step 5.2.1.1.5.7

Divide the highest order term in the dividend $- 12 x^{2}$ by the highest order term in divisor $2 x$ .

				$x^{2}$	-	$6 x$
$2 x$	-	$1$		$2 x^{3}$	-	$13 x^{2}$	+	$22 x$	-	$8$
			-	$2 x^{3}$	+	$x^{2}$
					-	$12 x^{2}$	+	$22 x$

Step 5.2.1.1.5.8

Multiply the new quotient term by the divisor.

				$x^{2}$	-	$6 x$
$2 x$	-	$1$		$2 x^{3}$	-	$13 x^{2}$	+	$22 x$	-	$8$
			-	$2 x^{3}$	+	$x^{2}$
					-	$12 x^{2}$	+	$22 x$
					-	$12 x^{2}$	+	$6 x$

Step 5.2.1.1.5.9

The expression needs to be subtracted from the dividend, so change all the signs in $- 12 x^{2} + 6 x$

				$x^{2}$	-	$6 x$
$2 x$	-	$1$		$2 x^{3}$	-	$13 x^{2}$	+	$22 x$	-	$8$
			-	$2 x^{3}$	+	$x^{2}$
					-	$12 x^{2}$	+	$22 x$
					+	$12 x^{2}$	-	$6 x$

Step 5.2.1.1.5.10

After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.

				$x^{2}$	-	$6 x$
$2 x$	-	$1$		$2 x^{3}$	-	$13 x^{2}$	+	$22 x$	-	$8$
			-	$2 x^{3}$	+	$x^{2}$
					-	$12 x^{2}$	+	$22 x$
					+	$12 x^{2}$	-	$6 x$
							+	$16 x$

Step 5.2.1.1.5.11

Pull the next terms from the original dividend down into the current dividend.

				$x^{2}$	-	$6 x$
$2 x$	-	$1$		$2 x^{3}$	-	$13 x^{2}$	+	$22 x$	-	$8$
			-	$2 x^{3}$	+	$x^{2}$
					-	$12 x^{2}$	+	$22 x$
					+	$12 x^{2}$	-	$6 x$
							+	$16 x$	-	$8$

Step 5.2.1.1.5.12

Divide the highest order term in the dividend $16 x$ by the highest order term in divisor $2 x$ .

				$x^{2}$	-	$6 x$	+	$8$
$2 x$	-	$1$		$2 x^{3}$	-	$13 x^{2}$	+	$22 x$	-	$8$
			-	$2 x^{3}$	+	$x^{2}$
					-	$12 x^{2}$	+	$22 x$
					+	$12 x^{2}$	-	$6 x$
							+	$16 x$	-	$8$

Step 5.2.1.1.5.13

Multiply the new quotient term by the divisor.

				$x^{2}$	-	$6 x$	+	$8$
$2 x$	-	$1$		$2 x^{3}$	-	$13 x^{2}$	+	$22 x$	-	$8$
			-	$2 x^{3}$	+	$x^{2}$
					-	$12 x^{2}$	+	$22 x$
					+	$12 x^{2}$	-	$6 x$
							+	$16 x$	-	$8$
							+	$16 x$	-	$8$

Step 5.2.1.1.5.14

The expression needs to be subtracted from the dividend, so change all the signs in $16 x - 8$

				$x^{2}$	-	$6 x$	+	$8$
$2 x$	-	$1$		$2 x^{3}$	-	$13 x^{2}$	+	$22 x$	-	$8$
			-	$2 x^{3}$	+	$x^{2}$
					-	$12 x^{2}$	+	$22 x$
					+	$12 x^{2}$	-	$6 x$
							+	$16 x$	-	$8$
							-	$16 x$	+	$8$

Step 5.2.1.1.5.15

After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.

				$x^{2}$	-	$6 x$	+	$8$
$2 x$	-	$1$		$2 x^{3}$	-	$13 x^{2}$	+	$22 x$	-	$8$
			-	$2 x^{3}$	+	$x^{2}$
					-	$12 x^{2}$	+	$22 x$
					+	$12 x^{2}$	-	$6 x$
							+	$16 x$	-	$8$
							-	$16 x$	+	$8$
										$0$

Step 5.2.1.1.5.16

Since the remander is $0$ , the final answer is the quotient.

$x^{2} - 6 x + 8$

Step 5.2.1.1.6

Write $2 x^{3} - 13 x^{2} + 22 x - 8$ as a set of factors.

$(2 x - 1) (x^{2} - 6 x + 8) = 0$

Step 5.2.1.2

Factor $x^{2} - 6 x + 8$ using the AC method.

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Step 5.2.1.2.1

Factor $x^{2} - 6 x + 8$ using the AC method.

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Step 5.2.1.2.1.1

Consider the form $x^{2} + b x + c$ . Find a pair of integers whose product is $c$ and whose sum is $b$ . In this case, whose product is $8$ and whose sum is $- 6$ .

$- 4, - 2$

Step 5.2.1.2.1.2

Write the factored form using these integers.

$(2 x - 1) ((x - 4) (x - 2)) = 0$

Step 5.2.1.2.2

Remove unnecessary parentheses.

$(2 x - 1) (x - 4) (x - 2) = 0$

Step 5.2.2

If any individual factor on the left side of the equation is equal to $0$ , the entire expression will be equal to $0$ .

$2 x - 1 = 0$

$x - 4 = 0$

$x - 2 = 0$

Step 5.2.3

Set $2 x - 1$ equal to $0$ and solve for $x$ .

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Step 5.2.3.1

Set $2 x - 1$ equal to $0$ .

$2 x - 1 = 0$

Step 5.2.3.2

Solve $2 x - 1 = 0$ for $x$ .

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Step 5.2.3.2.1

Add $1$ to both sides of the equation.

$2 x = 1$

Step 5.2.3.2.2

Divide each term in $2 x = 1$ by $2$ and simplify.

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Step 5.2.3.2.2.1

Divide each term in $2 x = 1$ by $2$ .

$\frac{2 x}{2} = \frac{1}{2}$

Step 5.2.3.2.2.2

Simplify the left side.

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Step 5.2.3.2.2.2.1

Cancel the common factor of $2$ .

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Step 5.2.3.2.2.2.1.1

Cancel the common factor.

$\frac{2 x}{2} = \frac{1}{2}$

Step 5.2.3.2.2.2.1.2

Divide $x$ by $1$ .

$x = \frac{1}{2}$

Step 5.2.4

Set $x - 4$ equal to $0$ and solve for $x$ .

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Step 5.2.4.1

Set $x - 4$ equal to $0$ .

$x - 4 = 0$

Step 5.2.4.2

Add $4$ to both sides of the equation.

$x = 4$

Step 5.2.5

Set $x - 2$ equal to $0$ and solve for $x$ .

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Step 5.2.5.1

Set $x - 2$ equal to $0$ .

$x - 2 = 0$

Step 5.2.5.2

Add $2$ to both sides of the equation.

$x = 2$

Step 5.2.6

The final solution is all the values that make $(2 x - 1) (x - 4) (x - 2) = 0$ true.

$x = \frac{1}{2}, 4, 2$

Step 6

The final solution is all the values that make $(x - 1) (2 x^{3} - 13 x^{2} + 22 x - 8) = 0$ true.

$x = 1, \frac{1}{2}, 4, 2$

Step 7

The result can be shown in multiple forms.

Exact Form:

$x = 1, \frac{1}{2}, 4, 2$

Decimal Form:

$x = 1, 0.5, 4, 2$