Solve 3x^3 y^3 -m=4x^3 y^3

Evaluate

3 x^{3} y^{3} - m = 4 x^{3} y^{3}

Rewrite the expression

3 y^{3} x^{3} - m = 4 y^{3} x^{3}

Move the expression to the left side

3 y^{3} x^{3} - m - 4 y^{3} x^{3} = 0

Subtract the terms

More Steps

- y^{3} x^{3} - m = 0

Move the expression to the right-hand side and change its sign

- y^{3} x^{3} = 0 + m

Add the terms

- y^{3} x^{3} = m

Divide both sides

\frac{- y ^{3} x ^{3}}{- y ^{3}} = \frac{m}{- y ^{3}}

Divide the numbers

x^{3} = \frac{m}{- y ^{3}}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

x^{3} = - \frac{m}{y ^{3}}

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

3 x^{3} = 3 - \frac{m}{y ^{3}}

Calculate

x = 3 - \frac{m}{y ^{3}}

Simplify the root

More Steps

x = \frac{3 - m}{y}

Solution

More Steps

x = - \frac{3 m}{y}

Solve the equation