(x-5)(2x-8)(4x-36)=0

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Solution for (x-5)(2x-8)(4x-36)=0 equation: 


Simplifying
(x + -5)(2x + -8)(4x + -36) = 0

Reorder the terms:
(-5 + x)(2x + -8)(4x + -36) = 0

Reorder the terms:
(-5 + x)(-8 + 2x)(4x + -36) = 0

Reorder the terms:
(-5 + x)(-8 + 2x)(-36 + 4x) = 0

Multiply (-5 + x) * (-8 + 2x)
(-5(-8 + 2x) + x(-8 + 2x))(-36 + 4x) = 0
((-8 * -5 + 2x * -5) + x(-8 + 2x))(-36 + 4x) = 0
((40 + -10x) + x(-8 + 2x))(-36 + 4x) = 0
(40 + -10x + (-8 * x + 2x * x))(-36 + 4x) = 0
(40 + -10x + (-8x + 2x2))(-36 + 4x) = 0

Combine like terms: -10x + -8x = -18x
(40 + -18x + 2x2)(-36 + 4x) = 0

Multiply (40 + -18x + 2x2) * (-36 + 4x)
(40(-36 + 4x) + -18x * (-36 + 4x) + 2x2 * (-36 + 4x)) = 0
((-36 * 40 + 4x * 40) + -18x * (-36 + 4x) + 2x2 * (-36 + 4x)) = 0
((-1440 + 160x) + -18x * (-36 + 4x) + 2x2 * (-36 + 4x)) = 0
(-1440 + 160x + (-36 * -18x + 4x * -18x) + 2x2 * (-36 + 4x)) = 0
(-1440 + 160x + (648x + -72x2) + 2x2 * (-36 + 4x)) = 0
(-1440 + 160x + 648x + -72x2 + (-36 * 2x2 + 4x * 2x2)) = 0
(-1440 + 160x + 648x + -72x2 + (-72x2 + 8x3)) = 0

Combine like terms: 160x + 648x = 808x
(-1440 + 808x + -72x2 + -72x2 + 8x3) = 0

Combine like terms: -72x2 + -72x2 = -144x2
(-1440 + 808x + -144x2 + 8x3) = 0

Solving
-1440 + 808x + -144x2 + 8x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8'.
8(-180 + 101x + -18x2 + x3) = 0

Ignore the factor 8.

Subproblem 1
Set the factor '(-180 + 101x + -18x2 + x3)' equal to zero and attempt to solve:

Simplifying
-180 + 101x + -18x2 + x3 = 0

Solving
-180 + 101x + -18x2 + 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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