Trigonometry Examples

${(w + 8)}^{3} - 8 = 0$

Step 1

Add $8$ to both sides of the equation.

${(w + 8)}^{3} = 8$

Step 2

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

$w + 8 = \sqrt[3]{8}$

Step 3

Simplify $\sqrt[3]{8}$ .

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Step 3.1

Rewrite $8$ as $2^{3}$ .

$w + 8 = \sqrt[3]{2^{3}}$

Step 3.2

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

$w + 8 = 2$

Step 4

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

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Step 4.1

Subtract $8$ from both sides of the equation.

$w = 2 - 8$

Step 4.2

Subtract $8$ from $2$ .

$w = - 6$