Solve for x
x=8
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x^{2}-\left(x^{2}-16\right)=2x
Consider \left(x-4\right)\left(x+4\right). Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}. Square 4.
x^{2}-x^{2}+16=2x
To find the opposite of x^{2}-16, find the opposite of each term.
16=2x
Combine x^{2} and -x^{2} to get 0.
2x=16
Swap sides so that all variable terms are on the left hand side.
x=\frac{16}{2}
Divide both sides by 2.
x=8
Divide 16 by 2 to get 8.
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