Solve for m
m=8
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m^{2}+6m+13=61+m^{2}
Add 16 and 45 to get 61.
m^{2}+6m+13-m^{2}=61
Subtract m^{2} from both sides.
6m+13=61
Combine m^{2} and -m^{2} to get 0.
6m=61-13
Subtract 13 from both sides.
6m=48
Subtract 13 from 61 to get 48.
m=\frac{48}{6}
Divide both sides by 6.
m=8
Divide 48 by 6 to get 8.
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