Solve for b
b=2a^{2}+a+6
Solve for a
a=\frac{\sqrt{8b-47}-1}{4}
a=\frac{-\sqrt{8b-47}-1}{4}\text{, }b\geq \frac{47}{8}
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-4+b-a=2a^{2}+2
Swap sides so that all variable terms are on the left hand side.
b-a=2a^{2}+2+4
Add 4 to both sides.
b-a=2a^{2}+6
Add 2 and 4 to get 6.
b=2a^{2}+6+a
Add a to both sides.
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