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

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


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

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

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

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

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

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

Solving for variable 'x'.

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

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

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

Ignore the factor 2.

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

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

Solving
-20 + 4x + -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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