Solve for x
x=32
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x^{2}+2x+1-x^{2}=65
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+1\right)^{2}.
2x+1=65
Combine x^{2} and -x^{2} to get 0.
2x=65-1
Subtract 1 from both sides.
2x=64
Subtract 1 from 65 to get 64.
x=\frac{64}{2}
Divide both sides by 2.
x=32
Divide 64 by 2 to get 32.
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