Solve 3x^2 / 2x^3=3/4

Evaluate

(3 \times \frac{x ^{2}}{2}) x^{3} = \frac{3}{4}

Remove the parentheses

3 \times \frac{x ^{2}}{2} x^{3} = \frac{3}{4}

Multiply the terms

More Steps

\frac{3 x ^{5}}{2} = \frac{3}{4}

Multiply both sides of the equation by 2

\frac{3 x ^{5}}{2} \times 2 = \frac{3}{4} \times 2

Multiply the terms

3 x^{5} = \frac{3 \times 2}{4}

Divide the terms

3 x^{5} = \frac{3}{2}

Multiply by the reciprocal

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

Multiply

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

Multiply

More Steps

x^{5} = \frac{1}{2}

Take the 5 -th root on both sides of the equation

5 x^{5} = 5 \frac{1}{2}

Calculate

x = 5 \frac{1}{2}

Solution

More Steps

x = \frac{5 16}{2}

Alternative Form

x \approx 0.870551

Solve the equation