(x+1)(x-1)-x*x+(2x+1)(2x+1)=4(x+2)(x+2)+8

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Solution for (x+1)(x-1)-x*x+(2x+1)(2x+1)=4(x+2)(x+2)+8 equation: 


Simplifying
(x + 1)(x + -1) + -1x * x + (2x + 1)(2x + 1) = 4(x + 2)(x + 2) + 8

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

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

Multiply (1 + x) * (-1 + x)
(1(-1 + x) + x(-1 + x)) + -1x * x + (2x + 1)(2x + 1) = 4(x + 2)(x + 2) + 8
((-1 * 1 + x * 1) + x(-1 + x)) + -1x * x + (2x + 1)(2x + 1) = 4(x + 2)(x + 2) + 8
((-1 + 1x) + x(-1 + x)) + -1x * x + (2x + 1)(2x + 1) = 4(x + 2)(x + 2) + 8
(-1 + 1x + (-1 * x + x * x)) + -1x * x + (2x + 1)(2x + 1) = 4(x + 2)(x + 2) + 8
(-1 + 1x + (-1x + x2)) + -1x * x + (2x + 1)(2x + 1) = 4(x + 2)(x + 2) + 8

Combine like terms: 1x + -1x = 0
(-1 + 0 + x2) + -1x * x + (2x + 1)(2x + 1) = 4(x + 2)(x + 2) + 8
(-1 + x2) + -1x * x + (2x + 1)(2x + 1) = 4(x + 2)(x + 2) + 8

Multiply x * x
-1 + x2 + -1x2 + (2x + 1)(2x + 1) = 4(x + 2)(x + 2) + 8

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

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

Multiply (1 + 2x) * (1 + 2x)
-1 + x2 + -1x2 + (1(1 + 2x) + 2x * (1 + 2x)) = 4(x + 2)(x + 2) + 8
-1 + x2 + -1x2 + ((1 * 1 + 2x * 1) + 2x * (1 + 2x)) = 4(x + 2)(x + 2) + 8
-1 + x2 + -1x2 + ((1 + 2x) + 2x * (1 + 2x)) = 4(x + 2)(x + 2) + 8
-1 + x2 + -1x2 + (1 + 2x + (1 * 2x + 2x * 2x)) = 4(x + 2)(x + 2) + 8
-1 + x2 + -1x2 + (1 + 2x + (2x + 4x2)) = 4(x + 2)(x + 2) + 8

Combine like terms: 2x + 2x = 4x
-1 + x2 + -1x2 + (1 + 4x + 4x2) = 4(x + 2)(x + 2) + 8

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

Combine like terms: -1 + 1 = 0
0 + 4x + x2 + -1x2 + 4x2 = 4(x + 2)(x + 2) + 8
4x + x2 + -1x2 + 4x2 = 4(x + 2)(x + 2) + 8

Combine like terms: x2 + -1x2 = 0
4x + 0 + 4x2 = 4(x + 2)(x + 2) + 8
4x + 4x2 = 4(x + 2)(x + 2) + 8

Reorder the terms:
4x + 4x2 = 4(2 + x)(x + 2) + 8

Reorder the terms:
4x + 4x2 = 4(2 + x)(2 + x) + 8

Multiply (2 + x) * (2 + x)
4x + 4x2 = 4(2(2 + x) + x(2 + x)) + 8
4x + 4x2 = 4((2 * 2 + x * 2) + x(2 + x)) + 8
4x + 4x2 = 4((4 + 2x) + x(2 + x)) + 8
4x + 4x2 = 4(4 + 2x + (2 * x + x * x)) + 8
4x + 4x2 = 4(4 + 2x + (2x + x2)) + 8

Combine like terms: 2x + 2x = 4x
4x + 4x2 = 4(4 + 4x + x2) + 8
4x + 4x2 = (4 * 4 + 4x * 4 + x2 * 4) + 8
4x + 4x2 = (16 + 16x + 4x2) + 8

Reorder the terms:
4x + 4x2 = 16 + 8 + 16x + 4x2

Combine like terms: 16 + 8 = 24
4x + 4x2 = 24 + 16x + 4x2

Add '-4x2' to each side of the equation.
4x + 4x2 + -4x2 = 24 + 16x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
4x + 0 = 24 + 16x + 4x2 + -4x2
4x = 24 + 16x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
4x = 24 + 16x + 0
4x = 24 + 16x

Solving
4x = 24 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
4x + -16x = 24 + 16x + -16x

Combine like terms: 4x + -16x = -12x
-12x = 24 + 16x + -16x

Combine like terms: 16x + -16x = 0
-12x = 24 + 0
-12x = 24

Divide each side by '-12'.
x = -2

Simplifying
x = -2

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