(x-4)(x)(2)=192

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Solution for (x-4)(x)(2)=192 equation:


Simplifying
(x + -4)(x)(2) = 192

Reorder the terms:
(-4 + x)(x)(2) = 192

Reorder the terms for easier multiplication:
2x(-4 + x) = 192
(-4 * 2x + x * 2x) = 192
(-8x + 2x2) = 192

Solving
-8x + 2x2 = 192

Solving for variable 'x'.

Reorder the terms:
-192 + -8x + 2x2 = 192 + -192

Combine like terms: 192 + -192 = 0
-192 + -8x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-96 + -4x + x2) = 0

Factor a trinomial.
2((-8 + -1x)(12 + -1x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-8 + -1x)' equal to zero and attempt to solve: Simplifying -8 + -1x = 0 Solving -8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 0 + 8 -1x = 0 + 8 Combine like terms: 0 + 8 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8

Subproblem 2

Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12

Solution

x = {-8, 12}

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