Solve for A
A=-\frac{3x}{5}+\frac{8}{5x}
x\neq 0
Solve for x
x=\frac{\sqrt{25A^{2}+96}-5A}{6}
x=\frac{-\sqrt{25A^{2}+96}-5A}{6}
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5Ax=8-3x^{2}
Subtract 3x^{2} from both sides.
5xA=8-3x^{2}
The equation is in standard form.
\frac{5xA}{5x}=\frac{8-3x^{2}}{5x}
Divide both sides by 5x.
A=\frac{8-3x^{2}}{5x}
Dividing by 5x undoes the multiplication by 5x.
A=-\frac{3x}{5}+\frac{8}{5x}
Divide 8-3x^{2} by 5x.
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