Algebra Examples

$4 x^{3} = 16$

Step 1

Subtract $16$ from both sides of the equation.

$4 x^{3} - 16 = 0$

Step 2

Factor $4$ out of $4 x^{3} - 16$ .

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Step 2.1

Factor $4$ out of $4 x^{3}$ .

$4 (x^{3}) - 16 = 0$

Step 2.2

Factor $4$ out of $- 16$ .

$4 x^{3} + 4 \cdot - 4 = 0$

Step 2.3

Factor $4$ out of $4 x^{3} + 4 \cdot - 4$ .

$4 (x^{3} - 4) = 0$

Step 3

Divide each term in $4 (x^{3} - 4) = 0$ by $4$ and simplify.

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Step 3.1

Divide each term in $4 (x^{3} - 4) = 0$ by $4$ .

$\frac{4 (x^{3} - 4)}{4} = \frac{0}{4}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $4$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{4 (x^{3} - 4)}{4} = \frac{0}{4}$

Step 3.2.1.2

Divide $x^{3} - 4$ by $1$ .

$x^{3} - 4 = \frac{0}{4}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide $0$ by $4$ .

$x^{3} - 4 = 0$

Step 4

Add $4$ to both sides of the equation.

$x^{3} = 4$

Step 5

Take the specified root of both sides of the equation to eliminate the exponent on the left side.

$x = \sqrt[3]{4}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$x = \sqrt[3]{4}$

Decimal Form:

$x = 1.58740105 \dots$