2(x+2)(x-2)-(x+4)(x-3)-(x-1)(x-1)=0

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Solution for 2(x+2)(x-2)-(x+4)(x-3)-(x-1)(x-1)=0 equation: 


Simplifying
2(x + 2)(x + -2) + -1(x + 4)(x + -3) + -1(x + -1)(x + -1) = 0

Reorder the terms:
2(2 + x)(x + -2) + -1(x + 4)(x + -3) + -1(x + -1)(x + -1) = 0

Reorder the terms:
2(2 + x)(-2 + x) + -1(x + 4)(x + -3) + -1(x + -1)(x + -1) = 0

Multiply (2 + x) * (-2 + x)
2(2(-2 + x) + x(-2 + x)) + -1(x + 4)(x + -3) + -1(x + -1)(x + -1) = 0
2((-2 * 2 + x * 2) + x(-2 + x)) + -1(x + 4)(x + -3) + -1(x + -1)(x + -1) = 0
2((-4 + 2x) + x(-2 + x)) + -1(x + 4)(x + -3) + -1(x + -1)(x + -1) = 0
2(-4 + 2x + (-2 * x + x * x)) + -1(x + 4)(x + -3) + -1(x + -1)(x + -1) = 0
2(-4 + 2x + (-2x + x2)) + -1(x + 4)(x + -3) + -1(x + -1)(x + -1) = 0

Combine like terms: 2x + -2x = 0
2(-4 + 0 + x2) + -1(x + 4)(x + -3) + -1(x + -1)(x + -1) = 0
2(-4 + x2) + -1(x + 4)(x + -3) + -1(x + -1)(x + -1) = 0
(-4 * 2 + x2 * 2) + -1(x + 4)(x + -3) + -1(x + -1)(x + -1) = 0
(-8 + 2x2) + -1(x + 4)(x + -3) + -1(x + -1)(x + -1) = 0

Reorder the terms:
-8 + 2x2 + -1(4 + x)(x + -3) + -1(x + -1)(x + -1) = 0

Reorder the terms:
-8 + 2x2 + -1(4 + x)(-3 + x) + -1(x + -1)(x + -1) = 0

Multiply (4 + x) * (-3 + x)
-8 + 2x2 + -1(4(-3 + x) + x(-3 + x)) + -1(x + -1)(x + -1) = 0
-8 + 2x2 + -1((-3 * 4 + x * 4) + x(-3 + x)) + -1(x + -1)(x + -1) = 0
-8 + 2x2 + -1((-12 + 4x) + x(-3 + x)) + -1(x + -1)(x + -1) = 0
-8 + 2x2 + -1(-12 + 4x + (-3 * x + x * x)) + -1(x + -1)(x + -1) = 0
-8 + 2x2 + -1(-12 + 4x + (-3x + x2)) + -1(x + -1)(x + -1) = 0

Combine like terms: 4x + -3x = 1x
-8 + 2x2 + -1(-12 + 1x + x2) + -1(x + -1)(x + -1) = 0
-8 + 2x2 + (-12 * -1 + 1x * -1 + x2 * -1) + -1(x + -1)(x + -1) = 0
-8 + 2x2 + (12 + -1x + -1x2) + -1(x + -1)(x + -1) = 0

Reorder the terms:
-8 + 2x2 + 12 + -1x + -1x2 + -1(-1 + x)(x + -1) = 0

Reorder the terms:
-8 + 2x2 + 12 + -1x + -1x2 + -1(-1 + x)(-1 + x) = 0

Multiply (-1 + x) * (-1 + x)
-8 + 2x2 + 12 + -1x + -1x2 + -1(-1(-1 + x) + x(-1 + x)) = 0
-8 + 2x2 + 12 + -1x + -1x2 + -1((-1 * -1 + x * -1) + x(-1 + x)) = 0
-8 + 2x2 + 12 + -1x + -1x2 + -1((1 + -1x) + x(-1 + x)) = 0
-8 + 2x2 + 12 + -1x + -1x2 + -1(1 + -1x + (-1 * x + x * x)) = 0
-8 + 2x2 + 12 + -1x + -1x2 + -1(1 + -1x + (-1x + x2)) = 0

Combine like terms: -1x + -1x = -2x
-8 + 2x2 + 12 + -1x + -1x2 + -1(1 + -2x + x2) = 0
-8 + 2x2 + 12 + -1x + -1x2 + (1 * -1 + -2x * -1 + x2 * -1) = 0
-8 + 2x2 + 12 + -1x + -1x2 + (-1 + 2x + -1x2) = 0

Reorder the terms:
-8 + 12 + -1 + -1x + 2x + 2x2 + -1x2 + -1x2 = 0

Combine like terms: -8 + 12 = 4
4 + -1 + -1x + 2x + 2x2 + -1x2 + -1x2 = 0

Combine like terms: 4 + -1 = 3
3 + -1x + 2x + 2x2 + -1x2 + -1x2 = 0

Combine like terms: -1x + 2x = 1x
3 + 1x + 2x2 + -1x2 + -1x2 = 0

Combine like terms: 2x2 + -1x2 = 1x2
3 + 1x + 1x2 + -1x2 = 0

Combine like terms: 1x2 + -1x2 = 0
3 + 1x + 0 = 0
3 + 1x = 0

Solving
3 + 1x = 0

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + 1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 1x = 0 + -3
1x = 0 + -3

Combine like terms: 0 + -3 = -3
1x = -3

Divide each side by '1'.
x = -3

Simplifying
x = -3

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