(2x+1)(2x-1)-4(x^2-x-2)=11

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Solution for (2x+1)(2x-1)-4(x^2-x-2)=11 equation:


Simplifying
(2x + 1)(2x + -1) + -4(x2 + -1x + -2) = 11

Reorder the terms:
(1 + 2x)(2x + -1) + -4(x2 + -1x + -2) = 11

Reorder the terms:
(1 + 2x)(-1 + 2x) + -4(x2 + -1x + -2) = 11

Multiply (1 + 2x) * (-1 + 2x)
(1(-1 + 2x) + 2x * (-1 + 2x)) + -4(x2 + -1x + -2) = 11
((-1 * 1 + 2x * 1) + 2x * (-1 + 2x)) + -4(x2 + -1x + -2) = 11
((-1 + 2x) + 2x * (-1 + 2x)) + -4(x2 + -1x + -2) = 11
(-1 + 2x + (-1 * 2x + 2x * 2x)) + -4(x2 + -1x + -2) = 11
(-1 + 2x + (-2x + 4x2)) + -4(x2 + -1x + -2) = 11

Combine like terms: 2x + -2x = 0
(-1 + 0 + 4x2) + -4(x2 + -1x + -2) = 11
(-1 + 4x2) + -4(x2 + -1x + -2) = 11

Reorder the terms:
-1 + 4x2 + -4(-2 + -1x + x2) = 11
-1 + 4x2 + (-2 * -4 + -1x * -4 + x2 * -4) = 11
-1 + 4x2 + (8 + 4x + -4x2) = 11

Reorder the terms:
-1 + 8 + 4x + 4x2 + -4x2 = 11

Combine like terms: -1 + 8 = 7
7 + 4x + 4x2 + -4x2 = 11

Combine like terms: 4x2 + -4x2 = 0
7 + 4x + 0 = 11
7 + 4x = 11

Solving
7 + 4x = 11

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + 4x = 11 + -7

Combine like terms: 7 + -7 = 0
0 + 4x = 11 + -7
4x = 11 + -7

Combine like terms: 11 + -7 = 4
4x = 4

Divide each side by '4'.
x = 1

Simplifying
x = 1

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