Pre-Algebra Examples

${(x - 4)}^{3} - 27 = 0$

Step 1

Add $27$ to both sides of the equation.

${(x - 4)}^{3} = 27$

Step 2

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

$x - 4 = \sqrt[3]{27}$

Step 3

Simplify $\sqrt[3]{27}$ .

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Step 3.1

Rewrite $27$ as $3^{3}$ .

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

Step 3.2

Pull terms out from under the radical, assuming real numbers.

$x - 4 = 3$

Step 4

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

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Step 4.1

Add $4$ to both sides of the equation.

$x = 3 + 4$

Step 4.2

Add $3$ and $4$ .

$x = 7$