Solve for b
b=5-c-2a^{2}
Solve for a
a=\frac{\sqrt{10-2c-2b}}{2}
a=-\frac{\sqrt{10-2c-2b}}{2}\text{, }b\leq 5-c
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b+c=5-2a^{2}
Subtract 2a^{2} from both sides.
b=5-2a^{2}-c
Subtract c from both sides.
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