Solve (-1/3x^3)=(-3/2)

Evaluate

- \frac{1}{3} x^{3} = - \frac{3}{2}

Change the signs on both sides of the equation

\frac{1}{3} x^{3} = \frac{3}{2}

Multiply by the reciprocal

\frac{1}{3} x^{3} \times 3 = \frac{3}{2} \times 3

Multiply

x^{3} = \frac{3}{2} \times 3

Multiply

More Steps

x^{3} = \frac{9}{2}

Take the 3 -th root on both sides of the equation

3 x^{3} = 3 \frac{9}{2}

Calculate

x = 3 \frac{9}{2}

Solution

More Steps

x = \frac{3 36}{2}

Alternative Form

x \approx 1.650964

Solve the equation