Solve -2/3(x^3/5)=1/2

Evaluate

- \frac{2}{3} \times \frac{x ^{3}}{5} = \frac{1}{2}

Multiply the terms

More Steps

- \frac{2 x ^{3}}{15} = \frac{1}{2}

Rewrite the expression

\frac{- 2 x ^{3}}{15} = \frac{1}{2}

Multiply both sides of the equation by 15

\frac{- 2 x ^{3}}{15} \times 15 = \frac{1}{2} \times 15

Multiply the terms

- 2 x^{3} = \frac{15}{2}

Change the signs on both sides of the equation

2 x^{3} = - \frac{15}{2}

Multiply by the reciprocal

2 x^{3} \times \frac{1}{2} = - \frac{15}{2} \times \frac{1}{2}

Multiply

x^{3} = - \frac{15}{2} \times \frac{1}{2}

Multiply

More Steps

x^{3} = - \frac{15}{4}

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

3 x^{3} = 3 - \frac{15}{4}

Calculate

x = 3 - \frac{15}{4}

Solution

More Steps

x = - \frac{3 30}{2}

Alternative Form

x \approx - 1.553616

Solve the equation