Solve for y
y=\frac{9x^{2}}{8}-\frac{5x}{2}+\frac{25}{2}
Solve for x (complex solution)
x=\frac{-2\sqrt{18y-200}+10}{9}
x=\frac{2\sqrt{18y-200}+10}{9}
Solve for x
x=\frac{-2\sqrt{18y-200}+10}{9}
x=\frac{2\sqrt{18y-200}+10}{9}\text{, }y\geq \frac{100}{9}
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8y=100+60x+9x^{2}-80x
Subtract 80x from both sides.
8y=100-20x+9x^{2}
Combine 60x and -80x to get -20x.
8y=9x^{2}-20x+100
The equation is in standard form.
\frac{8y}{8}=\frac{9x^{2}-20x+100}{8}
Divide both sides by 8.
y=\frac{9x^{2}-20x+100}{8}
Dividing by 8 undoes the multiplication by 8.
y=\frac{9x^{2}}{8}-\frac{5x}{2}+\frac{25}{2}
Divide 100-20x+9x^{2} by 8.
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