Precalculus Examples

${(x + 4)}^{5} - 32 = 0$

Step 1

Add $32$ to both sides of the equation.

${(x + 4)}^{5} = 32$

Step 2

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

$x + 4 = \sqrt[5]{32}$

Step 3

Simplify $\sqrt[5]{32}$ .

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Step 3.1

Rewrite $32$ as $2^{5}$ .

$x + 4 = \sqrt[5]{2^{5}}$

Step 3.2

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

$x + 4 = 2$

Step 4

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

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Step 4.1

Subtract $4$ from both sides of the equation.

$x = 2 - 4$

Step 4.2

Subtract $4$ from $2$ .

$x = - 2$