Solve 2x^3/15=9/10

Evaluate

2 \times \frac{x ^{3}}{15} = \frac{9}{10}

Multiply the terms

\frac{2 x ^{3}}{15} = \frac{9}{10}

Multiply both sides of the equation by 15

\frac{2 x ^{3}}{15} \times 15 = \frac{9}{10} \times 15

Multiply the terms

2 x^{3} = \frac{9 \times 15}{10}

Divide the terms

2 x^{3} = \frac{27}{2}

Multiply by the reciprocal

2 x^{3} \times \frac{1}{2} = \frac{27}{2} \times \frac{1}{2}

Multiply

x^{3} = \frac{27}{2} \times \frac{1}{2}

Multiply

More Steps

x^{3} = \frac{27}{4}

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

3 x^{3} = 3 \frac{27}{4}

Calculate

x = 3 \frac{27}{4}

Solution

More Steps

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

Alternative Form

x \approx 1.889882

Solve the equation