96=(x+2)(x)(2)

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Solution for 96=(x+2)(x)(2) equation:


Simplifying
96 = (x + 2)(x)(2)

Reorder the terms:
96 = (2 + x)(x)(2)

Reorder the terms for easier multiplication:
96 = 2x(2 + x)
96 = (2 * 2x + x * 2x)
96 = (4x + 2x2)

Solving
96 = 4x + 2x2

Solving for variable 'x'.

Reorder the terms:
96 + -4x + -2x2 = 4x + -4x + 2x2 + -2x2

Combine like terms: 4x + -4x = 0
96 + -4x + -2x2 = 0 + 2x2 + -2x2
96 + -4x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
96 + -4x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(48 + -2x + -1x2) = 0

Factor a trinomial.
2((6 + -1x)(8 + x)) = 0

Ignore the factor 2.

Subproblem 1

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

Subproblem 2

Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 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 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8

Solution

x = {6, -8}

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