40=(2x)(x-1)(x-4)

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Solution for 40=(2x)(x-1)(x-4) equation: 


Simplifying
40 = (2x)(x + -1)(x + -4)

Remove parenthesis around (2x)
40 = 2x(x + -1)(x + -4)

Reorder the terms:
40 = 2x(-1 + x)(x + -4)

Reorder the terms:
40 = 2x(-1 + x)(-4 + x)

Multiply (-1 + x) * (-4 + x)
40 = 2x(-1(-4 + x) + x(-4 + x))
40 = 2x((-4 * -1 + x * -1) + x(-4 + x))
40 = 2x((4 + -1x) + x(-4 + x))
40 = 2x(4 + -1x + (-4 * x + x * x))
40 = 2x(4 + -1x + (-4x + x2))

Combine like terms: -1x + -4x = -5x
40 = 2x(4 + -5x + x2)
40 = (4 * 2x + -5x * 2x + x2 * 2x)
40 = (8x + -10x2 + 2x3)

Solving
40 = 8x + -10x2 + 2x3

Solving for variable 'x'.

Reorder the terms:
40 + -8x + 10x2 + -2x3 = 8x + -8x + -10x2 + 10x2 + 2x3 + -2x3

Combine like terms: 8x + -8x = 0
40 + -8x + 10x2 + -2x3 = 0 + -10x2 + 10x2 + 2x3 + -2x3
40 + -8x + 10x2 + -2x3 = -10x2 + 10x2 + 2x3 + -2x3

Combine like terms: -10x2 + 10x2 = 0
40 + -8x + 10x2 + -2x3 = 0 + 2x3 + -2x3
40 + -8x + 10x2 + -2x3 = 2x3 + -2x3

Combine like terms: 2x3 + -2x3 = 0
40 + -8x + 10x2 + -2x3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(20 + -4x + 5x2 + -1x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(20 + -4x + 5x2 + -1x3)' equal to zero and attempt to solve:

Simplifying
20 + -4x + 5x2 + -1x3 = 0

Solving
20 + -4x + 5x2 + -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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