832=(x+10-4)(x-4)(2)

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Solution for 832=(x+10-4)(x-4)(2) equation: 


Simplifying
832 = (x + 10 + -4)(x + -4)(2)

Reorder the terms:
832 = (10 + -4 + x)(x + -4)(2)

Combine like terms: 10 + -4 = 6
832 = (6 + x)(x + -4)(2)

Reorder the terms:
832 = (6 + x)(-4 + x)(2)

Reorder the terms for easier multiplication:
832 = 2(6 + x)(-4 + x)

Multiply (6 + x) * (-4 + x)
832 = 2(6(-4 + x) + x(-4 + x))
832 = 2((-4 * 6 + x * 6) + x(-4 + x))
832 = 2((-24 + 6x) + x(-4 + x))
832 = 2(-24 + 6x + (-4 * x + x * x))
832 = 2(-24 + 6x + (-4x + x2))

Combine like terms: 6x + -4x = 2x
832 = 2(-24 + 2x + x2)
832 = (-24 * 2 + 2x * 2 + x2 * 2)
832 = (-48 + 4x + 2x2)

Solving
832 = -48 + 4x + 2x2

Solving for variable 'x'.

Combine like terms: 832 + 48 = 880
880 + -4x + -2x2 = -48 + 4x + 2x2 + 48 + -4x + -2x2

Reorder the terms:
880 + -4x + -2x2 = -48 + 48 + 4x + -4x + 2x2 + -2x2

Combine like terms: -48 + 48 = 0
880 + -4x + -2x2 = 0 + 4x + -4x + 2x2 + -2x2
880 + -4x + -2x2 = 4x + -4x + 2x2 + -2x2

Combine like terms: 4x + -4x = 0
880 + -4x + -2x2 = 0 + 2x2 + -2x2
880 + -4x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
880 + -4x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(440 + -2x + -1x2) = 0

Factor a trinomial.
2((20 + -1x)(22 + x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(20 + -1x)' equal to zero and attempt to solve:

Simplifying
20 + -1x = 0

Solving
20 + -1x = 0

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

Add '-20' to each side of the equation.
20 + -20 + -1x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = 0 + -20
-1x = 0 + -20

Combine like terms: 0 + -20 = -20
-1x = -20

Divide each side by '-1'.
x = 20

Simplifying
x = 20

Subproblem 2
Set the factor '(22 + x)' equal to zero and attempt to solve:

Simplifying
22 + x = 0

Solving
22 + x = 0

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

Add '-22' to each side of the equation.
22 + -22 + x = 0 + -22

Combine like terms: 22 + -22 = 0
0 + x = 0 + -22
x = 0 + -22

Combine like terms: 0 + -22 = -22
x = -22

Simplifying
x = -22
Solution
x = {20, -22}

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