Solve for x x^3-2=0

$x^{3} - 2 = 0$

Add $2$ to both sides of the equation.

$x^{3} = 2$

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

$x = \sqrt[3]{2}$

The result can be shown in multiple forms.

Exact Form:

$x = \sqrt[3]{2}$

Decimal Form:

$x = 1.25992104 \dots$