Solve for x
x=20
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\left(2x\right)^{2}-4-x\left(4x-1\right)=16
Consider \left(2x-2\right)\left(2x+2\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 2.
2^{2}x^{2}-4-x\left(4x-1\right)=16
Expand \left(2x\right)^{2}.
4x^{2}-4-x\left(4x-1\right)=16
Calculate 2 to the power of 2 and get 4.
4x^{2}-4-\left(4x^{2}-x\right)=16
Use the distributive property to multiply x by 4x-1.
4x^{2}-4-4x^{2}+x=16
To find the opposite of 4x^{2}-x, find the opposite of each term.
-4+x=16
Combine 4x^{2} and -4x^{2} to get 0.
x=16+4
Add 4 to both sides.
x=20
Add 16 and 4 to get 20.
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