X(X^2-4x-5)=0

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


Simplifying
X(X2 + -4x + -5) = 0

Reorder the terms:
X(-5 + X2 + -4x) = 0
(-5 * X + X2 * X + -4x * X) = 0
(-5X + X3 + -4xX) = 0

Solving
-5X + X3 + -4xX = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), 'X'.
X(-5 + X2 + -4x) = 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 + X2 + -4x)' equal to zero and attempt to solve:

Simplifying
-5 + X2 + -4x = 0

Solving
-5 + X2 + -4x = 0

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

Add '5' to each side of the equation.
-5 + X2 + 5 + -4x = 0 + 5

Reorder the terms:
-5 + 5 + X2 + -4x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + X2 + -4x = 0 + 5
X2 + -4x = 0 + 5

Combine like terms: 0 + 5 = 5
X2 + -4x = 5

Add '4x' to each side of the equation.
X2 + -4x + 4x = 5 + 4x

Combine like terms: -4x + 4x = 0
X2 + 0 = 5 + 4x
X2 = 5 + 4x

Simplifying
X2 = 5 + 4x

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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