Algebra Examples

$\sqrt[3]{5 x^{2} + 7 x - 4} - \sqrt[3]{8 x} = 0$

Step 1

Simplify each term.

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Step 1.1

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

$\sqrt[3]{5 x^{2} + 7 x - 4} - \sqrt[3]{2^{3} x} = 0$

Step 1.2

Pull terms out from under the radical.

$\sqrt[3]{5 x^{2} + 7 x - 4} - (2 \sqrt[3]{x}) = 0$

Step 1.3

Multiply $2$ by $- 1$ .

$\sqrt[3]{5 x^{2} + 7 x - 4} - 2 \sqrt[3]{x} = 0$

Step 2

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

$x = - \frac{4}{5}, 1$

Step 3

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{4}{5}, 1$

Decimal Form:

$x = - 0.8, 1$

Step 4