(x-1)(x^3-4x^2-5x)=0

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Solution for (x-1)(x^3-4x^2-5x)=0 equation: 


Simplifying
(x + -1)(x3 + -4x2 + -5x) = 0

Reorder the terms:
(-1 + x)(x3 + -4x2 + -5x) = 0

Reorder the terms:
(-1 + x)(-5x + -4x2 + x3) = 0

Multiply (-1 + x) * (-5x + -4x2 + x3)
(-1(-5x + -4x2 + x3) + x(-5x + -4x2 + x3)) = 0
((-5x * -1 + -4x2 * -1 + x3 * -1) + x(-5x + -4x2 + x3)) = 0
((5x + 4x2 + -1x3) + x(-5x + -4x2 + x3)) = 0
(5x + 4x2 + -1x3 + (-5x * x + -4x2 * x + x3 * x)) = 0
(5x + 4x2 + -1x3 + (-5x2 + -4x3 + x4)) = 0

Reorder the terms:
(5x + 4x2 + -5x2 + -1x3 + -4x3 + x4) = 0

Combine like terms: 4x2 + -5x2 = -1x2
(5x + -1x2 + -1x3 + -4x3 + x4) = 0

Combine like terms: -1x3 + -4x3 = -5x3
(5x + -1x2 + -5x3 + x4) = 0

Solving
5x + -1x2 + -5x3 + x4 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(5 + -1x + -5x2 + x3)' equal to zero and attempt to solve:

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

Solving
5 + -1x + -5x2 + x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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