Solve for m
m=-7
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16+m^{2}=m^{2}+6m+58
Add 13 and 45 to get 58.
16+m^{2}-m^{2}=6m+58
Subtract m^{2} from both sides.
16=6m+58
Combine m^{2} and -m^{2} to get 0.
6m+58=16
Swap sides so that all variable terms are on the left hand side.
6m=16-58
Subtract 58 from both sides.
6m=-42
Subtract 58 from 16 to get -42.
m=\frac{-42}{6}
Divide both sides by 6.
m=-7
Divide -42 by 6 to get -7.
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