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Solve for f (complex solution)
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Solve for x (complex solution)
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Solve for f
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Solve for x
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xf=1+\alpha ^{2}-2x
The equation is in standard form.
\frac{xf}{x}=\frac{1+\alpha ^{2}-2x}{x}
Divide both sides by x.
f=\frac{1+\alpha ^{2}-2x}{x}
Dividing by x undoes the multiplication by x.
fx+2x=\alpha ^{2}+1
Add 2x to both sides.
\left(f+2\right)x=\alpha ^{2}+1
Combine all terms containing x.
\frac{\left(f+2\right)x}{f+2}=\frac{\alpha ^{2}+1}{f+2}
Divide both sides by f+2.
x=\frac{\alpha ^{2}+1}{f+2}
Dividing by f+2 undoes the multiplication by f+2.
xf=1+\alpha ^{2}-2x
The equation is in standard form.
\frac{xf}{x}=\frac{1+\alpha ^{2}-2x}{x}
Divide both sides by x.
f=\frac{1+\alpha ^{2}-2x}{x}
Dividing by x undoes the multiplication by x.
fx+2x=\alpha ^{2}+1
Add 2x to both sides.
\left(f+2\right)x=\alpha ^{2}+1
Combine all terms containing x.
\frac{\left(f+2\right)x}{f+2}=\frac{\alpha ^{2}+1}{f+2}
Divide both sides by f+2.
x=\frac{\alpha ^{2}+1}{f+2}
Dividing by f+2 undoes the multiplication by f+2.