Solve for z
z=\frac{4}{x^{2}}
x\neq 0
Solve for x
x=\frac{2}{\sqrt{z}}
x=-\frac{2}{\sqrt{z}}\text{, }z>0
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zx^{2}-4=0
Add -7 and 3 to get -4.
zx^{2}=4
Add 4 to both sides. Anything plus zero gives itself.
x^{2}z=4
The equation is in standard form.
\frac{x^{2}z}{x^{2}}=\frac{4}{x^{2}}
Divide both sides by x^{2}.
z=\frac{4}{x^{2}}
Dividing by x^{2} undoes the multiplication by x^{2}.
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