450=x(15-2x)(60-2x)

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Solution for 450=x(15-2x)(60-2x) equation:


Simplifying
450 = x(15 + -2x)(60 + -2x)

Multiply (15 + -2x) * (60 + -2x)
450 = x(15(60 + -2x) + -2x * (60 + -2x))
450 = x((60 * 15 + -2x * 15) + -2x * (60 + -2x))
450 = x((900 + -30x) + -2x * (60 + -2x))
450 = x(900 + -30x + (60 * -2x + -2x * -2x))
450 = x(900 + -30x + (-120x + 4x2))

Combine like terms: -30x + -120x = -150x
450 = x(900 + -150x + 4x2)
450 = (900 * x + -150x * x + 4x2 * x)
450 = (900x + -150x2 + 4x3)

Solving
450 = 900x + -150x2 + 4x3

Solving for variable 'x'.

Reorder the terms:
450 + -900x + 150x2 + -4x3 = 900x + -900x + -150x2 + 150x2 + 4x3 + -4x3

Combine like terms: 900x + -900x = 0
450 + -900x + 150x2 + -4x3 = 0 + -150x2 + 150x2 + 4x3 + -4x3
450 + -900x + 150x2 + -4x3 = -150x2 + 150x2 + 4x3 + -4x3

Combine like terms: -150x2 + 150x2 = 0
450 + -900x + 150x2 + -4x3 = 0 + 4x3 + -4x3
450 + -900x + 150x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
450 + -900x + 150x2 + -4x3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(225 + -450x + 75x2 + -2x3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(225 + -450x + 75x2 + -2x3)' equal to zero and attempt to solve: Simplifying 225 + -450x + 75x2 + -2x3 = 0 Solving 225 + -450x + 75x2 + -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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