Solve for x 2x^3-2=198

$2 x^{3} - 2 = 198$

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

Add $2$ to both sides of the equation.

$2 x^{3} = 198 + 2$

Add $198$ and $2$ .

$2 x^{3} = 200$

Subtract $200$ from both sides of the equation.

$2 x^{3} - 200 = 0$

Factor $2$ out of $2 x^{3} - 200$ .

Factor $2$ out of $2 x^{3}$ .

$2 (x^{3}) - 200 = 0$

Factor $2$ out of $- 200$ .

$2 x^{3} + 2 \cdot - 100 = 0$

Factor $2$ out of $2 x^{3} + 2 \cdot - 100$ .

$2 (x^{3} - 100) = 0$

Divide each term in $2 (x^{3} - 100) = 0$ by $2$ and simplify.

Divide each term in $2 (x^{3} - 100) = 0$ by $2$ .

$\frac{2 (x^{3} - 100)}{2} = \frac{0}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 (x^{3} - 100)}{2} = \frac{0}{2}$

Divide $x^{3} - 100$ by $1$ .

$x^{3} - 100 = \frac{0}{2}$

Simplify the right side.

Divide $0$ by $2$ .

$x^{3} - 100 = 0$

Add $100$ to both sides of the equation.

$x^{3} = 100$

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

$x = \sqrt[3]{100}$

The result can be shown in multiple forms.

Exact Form:

$x = \sqrt[3]{100}$

Decimal Form:

$x = 4.64158883 \dots$