96=(x)(x+1)(2x+2)

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Solution for 96=(x)(x+1)(2x+2) equation:


Simplifying
96 = (x)(x + 1)(2x + 2)

Reorder the terms:
96 = x(1 + x)(2x + 2)

Reorder the terms:
96 = x(1 + x)(2 + 2x)

Multiply (1 + x) * (2 + 2x)
96 = x(1(2 + 2x) + x(2 + 2x))
96 = x((2 * 1 + 2x * 1) + x(2 + 2x))
96 = x((2 + 2x) + x(2 + 2x))
96 = x(2 + 2x + (2 * x + 2x * x))
96 = x(2 + 2x + (2x + 2x2))

Combine like terms: 2x + 2x = 4x
96 = x(2 + 4x + 2x2)
96 = (2 * x + 4x * x + 2x2 * x)
96 = (2x + 4x2 + 2x3)

Solving
96 = 2x + 4x2 + 2x3

Solving for variable 'x'.

Reorder the terms:
96 + -2x + -4x2 + -2x3 = 2x + -2x + 4x2 + -4x2 + 2x3 + -2x3

Combine like terms: 2x + -2x = 0
96 + -2x + -4x2 + -2x3 = 0 + 4x2 + -4x2 + 2x3 + -2x3
96 + -2x + -4x2 + -2x3 = 4x2 + -4x2 + 2x3 + -2x3

Combine like terms: 4x2 + -4x2 = 0
96 + -2x + -4x2 + -2x3 = 0 + 2x3 + -2x3
96 + -2x + -4x2 + -2x3 = 2x3 + -2x3

Combine like terms: 2x3 + -2x3 = 0
96 + -2x + -4x2 + -2x3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(48 + -1x + -2x2 + -1x3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(48 + -1x + -2x2 + -1x3)' equal to zero and attempt to solve: Simplifying 48 + -1x + -2x2 + -1x3 = 0 Solving 48 + -1x + -2x2 + -1x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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