Solve for x (4z^3)/x=7y

$\frac{4 z^{3}}{x} = 7 y$

Step 1

Find the LCD of the terms in the equation.

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

$x, 1$

The LCM of one and any expression is the expression.

$x$

Step 2

Multiply each term in $\frac{4 z^{3}}{x} = 7 y$ by $x$ to eliminate the fractions.

Multiply each term in $\frac{4 z^{3}}{x} = 7 y$ by $x$ .

$\frac{4 z^{3}}{x} x = 7 y x$

Simplify the left side.

Cancel the common factor of $x$ .

Cancel the common factor.

$\frac{4 z^{3}}{x} x = 7 y x$

Rewrite the expression.

$4 z^{3} = 7 y x$

Step 3

Solve the equation.

Rewrite the equation as $7 y x = 4 z^{3}$ .

$7 y x = 4 z^{3}$

Divide each term in $7 y x = 4 z^{3}$ by $7 y$ and simplify.

Divide each term in $7 y x = 4 z^{3}$ by $7 y$ .

$\frac{7 y x}{7 y} = \frac{4 z^{3}}{7 y}$

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7 y x}{7 y} = \frac{4 z^{3}}{7 y}$

Rewrite the expression.

$\frac{y x}{y} = \frac{4 z^{3}}{7 y}$

Cancel the common factor of $y$ .

Cancel the common factor.

$\frac{y x}{y} = \frac{4 z^{3}}{7 y}$

Divide $x$ by $1$ .

$x = \frac{4 z^{3}}{7 y}$