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4x^{2}-4x-3-4x^{2}=1
Use the distributive property to multiply 2x-3 by 2x+1 and combine like terms.
-4x-3=1
Combine 4x^{2} and -4x^{2} to get 0.
-4x=1+3
Add 3 to both sides.
-4x=4
Add 1 and 3 to get 4.
x=\frac{4}{-4}
Divide both sides by -4.
x=-1
Divide 4 by -4 to get -1.