Solve for f
f=x-9-\frac{49}{x}
x\neq 0
Solve for x
x=\frac{-\sqrt{f^{2}+18f+277}+f+9}{2}
x=\frac{\sqrt{f^{2}+18f+277}+f+9}{2}
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fx+9x=x^{2}-x-56+x+7
Use the distributive property to multiply f+9 by x.
fx+9x=x^{2}-56+7
Combine -x and x to get 0.
fx+9x=x^{2}-49
Add -56 and 7 to get -49.
fx=x^{2}-49-9x
Subtract 9x from both sides.
xf=x^{2}-9x-49
The equation is in standard form.
\frac{xf}{x}=\frac{x^{2}-9x-49}{x}
Divide both sides by x.
f=\frac{x^{2}-9x-49}{x}
Dividing by x undoes the multiplication by x.
f=x-9-\frac{49}{x}
Divide x^{2}-49-9x by x.
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