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Solve for u (complex solution)
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Solve for u
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Solve for x
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ux+x^{2}=14x
Use the distributive property to multiply u+x by x.
ux=14x-x^{2}
Subtract x^{2} from both sides.
xu=14x-x^{2}
The equation is in standard form.
\frac{xu}{x}=\frac{x\left(14-x\right)}{x}
Divide both sides by x.
u=\frac{x\left(14-x\right)}{x}
Dividing by x undoes the multiplication by x.
u=14-x
Divide x\left(14-x\right) by x.
ux+x^{2}=14x
Use the distributive property to multiply u+x by x.
ux=14x-x^{2}
Subtract x^{2} from both sides.
xu=14x-x^{2}
The equation is in standard form.
\frac{xu}{x}=\frac{x\left(14-x\right)}{x}
Divide both sides by x.
u=\frac{x\left(14-x\right)}{x}
Dividing by x undoes the multiplication by x.
u=14-x
Divide x\left(14-x\right) by x.