(2x-4)-[(x+2)(x-4)]+x+x-4=

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Solution for (2x-4)-[(x+2)(x-4)]+x+x-4= equation: 


Simplifying
(2x + -4) + -1[(x + 2)(x + -4)] + x + x + -4 = 0

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

Remove parenthesis around (-4 + 2x)
-4 + 2x + -1[(x + 2)(x + -4)] + x + x + -4 = 0

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

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

Multiply (2 + x) * (-4 + x)
-4 + 2x + -1[(2(-4 + x) + x(-4 + x))] + x + x + -4 = 0
-4 + 2x + -1[((-4 * 2 + x * 2) + x(-4 + x))] + x + x + -4 = 0
-4 + 2x + -1[((-8 + 2x) + x(-4 + x))] + x + x + -4 = 0
-4 + 2x + -1[(-8 + 2x + (-4 * x + x * x))] + x + x + -4 = 0
-4 + 2x + -1[(-8 + 2x + (-4x + x2))] + x + x + -4 = 0

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

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

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

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

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

Combine like terms: 4x + x = 5x
5x + x + -1x2 = 0

Combine like terms: 5x + x = 6x
6x + -1x2 = 0

Solving
6x + -1x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(6 + -1x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {0, 6}

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