Solve 2/8=3/x^3/2

Evaluate

\frac{2}{8} = \frac{3}{x ^{3}} \div 2

Find the domain

More Steps

\frac{2}{8} = \frac{3}{x ^{3}} \div 2, x \neq = 0

Cancel out the common factor 2

\frac{1}{4} = \frac{3}{x ^{3}} \div 2

Divide the terms

More Steps

\frac{1}{4} = \frac{3}{2 x ^{3}}

Swap the sides of the equation

\frac{3}{2 x ^{3}} = \frac{1}{4}

Rewrite the expression

2 x^{3} = 3 \times 4

Divide the terms

2 x^{3} = 12

Divide both sides

\frac{2 x ^{3}}{2} = \frac{12}{2}

Divide the numbers

x^{3} = \frac{12}{2}

Divide the numbers

More Steps

x^{3} = 6

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

3 x^{3} = 36

Calculate

x = 36

Check if the solution is in the defined range

x = 36, x \neq = 0

Solution

x = 36

Alternative Form

x \approx 1.817121

Solve the equation