Pre-Algebra Examples

$\sqrt[3]{8 x} - \sqrt[3]{6 x - 2} = 0$

Step 1

Simplify each term.

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Step 1.1

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

$\sqrt[3]{2^{3} x} - \sqrt[3]{6 x - 2} = 0$

Step 1.2

Pull terms out from under the radical.

$2 \sqrt[3]{x} - \sqrt[3]{6 x - 2} = 0$

Step 1.3

Factor $2$ out of $6 x - 2$ .

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Step 1.3.1

Factor $2$ out of $6 x$ .

$2 \sqrt[3]{x} - \sqrt[3]{2 (3 x) - 2} = 0$

Step 1.3.2

Factor $2$ out of $- 2$ .

$2 \sqrt[3]{x} - \sqrt[3]{2 (3 x) + 2 (- 1)} = 0$

Step 1.3.3

Factor $2$ out of $2 (3 x) + 2 (- 1)$ .

$2 \sqrt[3]{x} - \sqrt[3]{2 (3 x - 1)} = 0$

Step 2

Graph each side of the equation. The solution is the x-value of the point of intersection.

$x = - 1$

Step 3