108=(9-2x)(12-2x)x

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Solution for 108=(9-2x)(12-2x)x equation: 


Simplifying
108 = (9 + -2x)(12 + -2x) * x

Reorder the terms for easier multiplication:
108 = x(9 + -2x)(12 + -2x)

Multiply (9 + -2x) * (12 + -2x)
108 = x(9(12 + -2x) + -2x * (12 + -2x))
108 = x((12 * 9 + -2x * 9) + -2x * (12 + -2x))
108 = x((108 + -18x) + -2x * (12 + -2x))
108 = x(108 + -18x + (12 * -2x + -2x * -2x))
108 = x(108 + -18x + (-24x + 4x2))

Combine like terms: -18x + -24x = -42x
108 = x(108 + -42x + 4x2)
108 = (108 * x + -42x * x + 4x2 * x)
108 = (108x + -42x2 + 4x3)

Solving
108 = 108x + -42x2 + 4x3

Solving for variable 'x'.

Reorder the terms:
108 + -108x + 42x2 + -4x3 = 108x + -108x + -42x2 + 42x2 + 4x3 + -4x3

Combine like terms: 108x + -108x = 0
108 + -108x + 42x2 + -4x3 = 0 + -42x2 + 42x2 + 4x3 + -4x3
108 + -108x + 42x2 + -4x3 = -42x2 + 42x2 + 4x3 + -4x3

Combine like terms: -42x2 + 42x2 = 0
108 + -108x + 42x2 + -4x3 = 0 + 4x3 + -4x3
108 + -108x + 42x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
108 + -108x + 42x2 + -4x3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(54 + -54x + 21x2 + -2x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(54 + -54x + 21x2 + -2x3)' equal to zero and attempt to solve:

Simplifying
54 + -54x + 21x2 + -2x3 = 0

Solving
54 + -54x + 21x2 + -2x3 = 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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