Solve for E
E=-\frac{A\left(A-2\right)}{3}
Solve for A (complex solution)
A=\sqrt{1-3E}+1
A=-\sqrt{1-3E}+1
Solve for A
A=\sqrt{1-3E}+1
A=-\sqrt{1-3E}+1\text{, }E\leq \frac{1}{3}
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-2A+3E=-A^{2}
Subtract A^{2} from both sides. Anything subtracted from zero gives its negation.
3E=-A^{2}+2A
Add 2A to both sides.
3E=2A-A^{2}
The equation is in standard form.
\frac{3E}{3}=\frac{A\left(2-A\right)}{3}
Divide both sides by 3.
E=\frac{A\left(2-A\right)}{3}
Dividing by 3 undoes the multiplication by 3.
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