Solve for x
x=-\frac{m^{2}}{4}+m
Solve for m (complex solution)
m=-2\sqrt{1-x}+2
m=2\sqrt{1-x}+2
Solve for m
m=-2\sqrt{1-x}+2
m=2\sqrt{1-x}+2\text{, }x\leq 1
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4m=m^{2}+4x
Multiply both sides of the equation by 4.
m^{2}+4x=4m
Swap sides so that all variable terms are on the left hand side.
4x=4m-m^{2}
Subtract m^{2} from both sides.
\frac{4x}{4}=\frac{m\left(4-m\right)}{4}
Divide both sides by 4.
x=\frac{m\left(4-m\right)}{4}
Dividing by 4 undoes the multiplication by 4.
x=-\frac{m^{2}}{4}+m
Divide m\left(4-m\right) by 4.
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