Algebra Examples

$- 7 x^{3} + 6 = - 148$

Step 1

Move all terms not containing $x$ to the right side of the equation.

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Step 1.1

Subtract $6$ from both sides of the equation.

$- 7 x^{3} = - 148 - 6$

Step 1.2

Subtract $6$ from $- 148$ .

$- 7 x^{3} = - 154$

Step 2

Add $154$ to both sides of the equation.

$- 7 x^{3} + 154 = 0$

Step 3

Factor $- 7$ out of $- 7 x^{3} + 154$ .

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Step 3.1

Factor $- 7$ out of $154$ .

$- 7 x^{3} - 7 \cdot - 22 = 0$

Step 3.2

Factor $- 7$ out of $- 7 (x^{3}) - 7 (- 22)$ .

$- 7 (x^{3} - 22) = 0$

Step 4

Divide each term in $- 7 (x^{3} - 22) = 0$ by $- 7$ and simplify.

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Step 4.1

Divide each term in $- 7 (x^{3} - 22) = 0$ by $- 7$ .

$\frac{- 7 (x^{3} - 22)}{- 7} = \frac{0}{- 7}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $- 7$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{- 7 (x^{3} - 22)}{- 7} = \frac{0}{- 7}$

Step 4.2.1.2

Divide $x^{3} - 22$ by $1$ .

$x^{3} - 22 = \frac{0}{- 7}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Divide $0$ by $- 7$ .

$x^{3} - 22 = 0$

Step 5

Add $22$ to both sides of the equation.

$x^{3} = 22$

Step 6

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

$x = \sqrt[3]{22}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$x = \sqrt[3]{22}$

Decimal Form:

$x = 2.80203933 \dots$