Solve for y
y=36x^{2}+16z^{2}
Solve for x
x=\frac{\sqrt{y-16z^{2}}}{6}
x=-\frac{\sqrt{y-16z^{2}}}{6}\text{, }y\geq 16z^{2}
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y=6^{2}x^{2}+\left(4z\right)^{2}
Expand \left(6x\right)^{2}.
y=36x^{2}+\left(4z\right)^{2}
Calculate 6 to the power of 2 and get 36.
y=36x^{2}+4^{2}z^{2}
Expand \left(4z\right)^{2}.
y=36x^{2}+16z^{2}
Calculate 4 to the power of 2 and get 16.
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