Solve for y
y=\frac{x^{2}+47x+14}{8}
Solve for x (complex solution)
x=\frac{\sqrt{32y+2153}-47}{2}
x=\frac{-\sqrt{32y+2153}-47}{2}
Solve for x
x=\frac{\sqrt{32y+2153}-47}{2}
x=\frac{-\sqrt{32y+2153}-47}{2}\text{, }y\geq -\frac{2153}{32}
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47x-8y+14=-x^{2}
Subtract x^{2} from both sides. Anything subtracted from zero gives its negation.
-8y+14=-x^{2}-47x
Subtract 47x from both sides.
-8y=-x^{2}-47x-14
Subtract 14 from both sides.
\frac{-8y}{-8}=\frac{-x^{2}-47x-14}{-8}
Divide both sides by -8.
y=\frac{-x^{2}-47x-14}{-8}
Dividing by -8 undoes the multiplication by -8.
y=\frac{x^{2}}{8}+\frac{47x}{8}+\frac{7}{4}
Divide -x^{2}-47x-14 by -8.
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