Solve for x
x=\frac{4}{u-1}
u\neq 1
Solve for u
u=\frac{x+4}{x}
x\neq 0
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ux=x+4
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.
ux-x=4
Subtract x from both sides.
\left(u-1\right)x=4
Combine all terms containing x.
\frac{\left(u-1\right)x}{u-1}=\frac{4}{u-1}
Divide both sides by u-1.
x=\frac{4}{u-1}
Dividing by u-1 undoes the multiplication by u-1.
x=\frac{4}{u-1}\text{, }x\neq 0
Variable x cannot be equal to 0.
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