450=x(20-2x)(18-x)

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Solution for 450=x(20-2x)(18-x) equation:


Simplifying
450 = x(20 + -2x)(18 + -1x)

Multiply (20 + -2x) * (18 + -1x)
450 = x(20(18 + -1x) + -2x * (18 + -1x))
450 = x((18 * 20 + -1x * 20) + -2x * (18 + -1x))
450 = x((360 + -20x) + -2x * (18 + -1x))
450 = x(360 + -20x + (18 * -2x + -1x * -2x))
450 = x(360 + -20x + (-36x + 2x2))

Combine like terms: -20x + -36x = -56x
450 = x(360 + -56x + 2x2)
450 = (360 * x + -56x * x + 2x2 * x)
450 = (360x + -56x2 + 2x3)

Solving
450 = 360x + -56x2 + 2x3

Solving for variable 'x'.

Reorder the terms:
450 + -360x + 56x2 + -2x3 = 360x + -360x + -56x2 + 56x2 + 2x3 + -2x3

Combine like terms: 360x + -360x = 0
450 + -360x + 56x2 + -2x3 = 0 + -56x2 + 56x2 + 2x3 + -2x3
450 + -360x + 56x2 + -2x3 = -56x2 + 56x2 + 2x3 + -2x3

Combine like terms: -56x2 + 56x2 = 0
450 + -360x + 56x2 + -2x3 = 0 + 2x3 + -2x3
450 + -360x + 56x2 + -2x3 = 2x3 + -2x3

Combine like terms: 2x3 + -2x3 = 0
450 + -360x + 56x2 + -2x3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(225 + -180x + 28x2 + -1x3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(225 + -180x + 28x2 + -1x3)' equal to zero and attempt to solve: Simplifying 225 + -180x + 28x2 + -1x3 = 0 Solving 225 + -180x + 28x2 + -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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