Solve for a
a\neq 0
b\neq 0\text{ and }x=\frac{1}{2}
Solve for b
b\neq 0
a\neq 0\text{ and }x=\frac{1}{2}
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x\times 2ab=ab
Variable a cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 2ab.
x\times 2ab-ab=0
Subtract ab from both sides.
\left(x\times 2b-b\right)a=0
Combine all terms containing a.
\left(2bx-b\right)a=0
The equation is in standard form.
a=0
Divide 0 by 2xb-b.
a\in \emptyset
Variable a cannot be equal to 0.
x\times 2ab=ab
Variable b cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 2ab.
x\times 2ab-ab=0
Subtract ab from both sides.
\left(x\times 2a-a\right)b=0
Combine all terms containing b.
\left(2ax-a\right)b=0
The equation is in standard form.
b=0
Divide 0 by 2xa-a.
b\in \emptyset
Variable b cannot be equal to 0.
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