Solve for y
y=\frac{8\left(x^{2}+60\right)}{15}
Solve for x (complex solution)
x=-\frac{\sqrt{30\left(y-32\right)}}{4}
x=\frac{\sqrt{30\left(y-32\right)}}{4}
Solve for x
x=\frac{\sqrt{30\left(y-32\right)}}{4}
x=-\frac{\sqrt{30\left(y-32\right)}}{4}\text{, }y\geq 32
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y\times 0.375-\frac{1}{5}x^{2}=12
Multiply x and x to get x^{2}.
y\times 0.375=12+\frac{1}{5}x^{2}
Add \frac{1}{5}x^{2} to both sides.
0.375y=\frac{x^{2}}{5}+12
The equation is in standard form.
\frac{0.375y}{0.375}=\frac{\frac{x^{2}}{5}+12}{0.375}
Divide both sides of the equation by 0.375, which is the same as multiplying both sides by the reciprocal of the fraction.
y=\frac{\frac{x^{2}}{5}+12}{0.375}
Dividing by 0.375 undoes the multiplication by 0.375.
y=\frac{8x^{2}}{15}+32
Divide 12+\frac{x^{2}}{5} by 0.375 by multiplying 12+\frac{x^{2}}{5} by the reciprocal of 0.375.
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