Solve for a
a=\frac{cd}{b}
b\neq 0\text{ and }d\neq 0\text{ and }c\neq 0
Solve for b
b=\frac{cd}{a}
a\neq 0\text{ and }d\neq 0\text{ and }c\neq 0
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dc=ab
Variable a cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by abd, the least common multiple of ab,d.
ab=dc
Swap sides so that all variable terms are on the left hand side.
ba=cd
The equation is in standard form.
\frac{ba}{b}=\frac{cd}{b}
Divide both sides by b.
a=\frac{cd}{b}
Dividing by b undoes the multiplication by b.
a=\frac{cd}{b}\text{, }a\neq 0
Variable a cannot be equal to 0.
dc=ab
Variable b cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by abd, the least common multiple of ab,d.
ab=dc
Swap sides so that all variable terms are on the left hand side.
ab=cd
The equation is in standard form.
\frac{ab}{a}=\frac{cd}{a}
Divide both sides by a.
b=\frac{cd}{a}
Dividing by a undoes the multiplication by a.
b=\frac{cd}{a}\text{, }b\neq 0
Variable b cannot be equal to 0.
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