x(x+6)(18-2x)=432

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Solution for x(x+6)(18-2x)=432 equation:


Simplifying
x(x + 6)(18 + -2x) = 432

Reorder the terms:
x(6 + x)(18 + -2x) = 432

Multiply (6 + x) * (18 + -2x)
x(6(18 + -2x) + x(18 + -2x)) = 432
x((18 * 6 + -2x * 6) + x(18 + -2x)) = 432
x((108 + -12x) + x(18 + -2x)) = 432
x(108 + -12x + (18 * x + -2x * x)) = 432
x(108 + -12x + (18x + -2x2)) = 432

Combine like terms: -12x + 18x = 6x
x(108 + 6x + -2x2) = 432
(108 * x + 6x * x + -2x2 * x) = 432
(108x + 6x2 + -2x3) = 432

Solving
108x + 6x2 + -2x3 = 432

Solving for variable 'x'.

Reorder the terms:
-432 + 108x + 6x2 + -2x3 = 432 + -432

Combine like terms: 432 + -432 = 0
-432 + 108x + 6x2 + -2x3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-216 + 54x + 3x2 + -1x3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-216 + 54x + 3x2 + -1x3)' equal to zero and attempt to solve: Simplifying -216 + 54x + 3x2 + -1x3 = 0 Solving -216 + 54x + 3x2 + -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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