Solve for x_4
x_{4}=x+7-\frac{28}{x}
x\neq 0
Solve for x
x=\frac{-\sqrt{x_{4}^{2}-14x_{4}+161}+x_{4}-7}{2}
x=\frac{\sqrt{x_{4}^{2}-14x_{4}+161}+x_{4}-7}{2}
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x_{4}x=x^{2}+7x-20-8
Subtract 8 from both sides.
x_{4}x=x^{2}+7x-28
Subtract 8 from -20 to get -28.
xx_{4}=x^{2}+7x-28
The equation is in standard form.
\frac{xx_{4}}{x}=\frac{x^{2}+7x-28}{x}
Divide both sides by x.
x_{4}=\frac{x^{2}+7x-28}{x}
Dividing by x undoes the multiplication by x.
x_{4}=x+7-\frac{28}{x}
Divide x^{2}+7x-28 by x.
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