540=x(x+6)(22-2x)

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Solution for 540=x(x+6)(22-2x) equation:


Simplifying
540 = x(x + 6)(22 + -2x)

Reorder the terms:
540 = x(6 + x)(22 + -2x)

Multiply (6 + x) * (22 + -2x)
540 = x(6(22 + -2x) + x(22 + -2x))
540 = x((22 * 6 + -2x * 6) + x(22 + -2x))
540 = x((132 + -12x) + x(22 + -2x))
540 = x(132 + -12x + (22 * x + -2x * x))
540 = x(132 + -12x + (22x + -2x2))

Combine like terms: -12x + 22x = 10x
540 = x(132 + 10x + -2x2)
540 = (132 * x + 10x * x + -2x2 * x)
540 = (132x + 10x2 + -2x3)

Solving
540 = 132x + 10x2 + -2x3

Solving for variable 'x'.

Reorder the terms:
540 + -132x + -10x2 + 2x3 = 132x + -132x + 10x2 + -10x2 + -2x3 + 2x3

Combine like terms: 132x + -132x = 0
540 + -132x + -10x2 + 2x3 = 0 + 10x2 + -10x2 + -2x3 + 2x3
540 + -132x + -10x2 + 2x3 = 10x2 + -10x2 + -2x3 + 2x3

Combine like terms: 10x2 + -10x2 = 0
540 + -132x + -10x2 + 2x3 = 0 + -2x3 + 2x3
540 + -132x + -10x2 + 2x3 = -2x3 + 2x3

Combine like terms: -2x3 + 2x3 = 0
540 + -132x + -10x2 + 2x3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(270 + -66x + -5x2 + x3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(270 + -66x + -5x2 + x3)' equal to zero and attempt to solve: Simplifying 270 + -66x + -5x2 + x3 = 0 Solving 270 + -66x + -5x2 + x3 = 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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