Algebra Examples

$y = {(x - 12)}^{3} - 7$

Step 1

Set ${(x - 12)}^{3} - 7$ equal to $0$ .

${(x - 12)}^{3} - 7 = 0$

Step 2

Solve for $x$ .

Tap for more steps...

Step 2.1

Add $7$ to both sides of the equation.

${(x - 12)}^{3} = 7$

Step 2.2

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

$x - 12 = \sqrt[3]{7}$

Step 2.3

Add $12$ to both sides of the equation.

$x = \sqrt[3]{7} + 12$

Step 3

The result can be shown in multiple forms.

Exact Form:

$x = \sqrt[3]{7} + 12$

Decimal Form:

$x = 13.91293118 \dots$

Step 4