X(5x+1)(x-4)=0

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Solution for X(5x+1)(x-4)=0 equation: 


Simplifying
X(5x + 1)(x + -4) = 0

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

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

Multiply (1 + 5x) * (-4 + x)
X(1(-4 + x) + 5x * (-4 + x)) = 0
X((-4 * 1 + x * 1) + 5x * (-4 + x)) = 0
X((-4 + 1x) + 5x * (-4 + x)) = 0
X(-4 + 1x + (-4 * 5x + x * 5x)) = 0
X(-4 + 1x + (-20x + 5x2)) = 0

Combine like terms: 1x + -20x = -19x
X(-4 + -19x + 5x2) = 0
(-4 * X + -19x * X + 5x2 * X) = 0
(-4X + -19xX + 5x2X) = 0

Solving
-4X + -19xX + 5x2X = 0

Solving for variable 'X'.

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

Factor out the Greatest Common Factor (GCF), 'X'.
X(-4 + -19x + 5x2) = 0

Factor a trinomial.
X((-1 + -5x)(4 + -1x)) = 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 '(-1 + -5x)' equal to zero and attempt to solve:

Simplifying
-1 + -5x = 0

Solving
-1 + -5x = 0

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

Add '1' to each side of the equation.
-1 + 1 + -5x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -5x = 0 + 1
-5x = 0 + 1

Combine like terms: 0 + 1 = 1
-5x = 1

Add '5x' to each side of the equation.
-5x + 5x = 1 + 5x

Combine like terms: -5x + 5x = 0
0 = 1 + 5x

Simplifying
0 = 1 + 5x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Add 'x' to each side of the equation.
-1x + x = -4 + x

Combine like terms: -1x + x = 0
0 = -4 + x

Simplifying
0 = -4 + x

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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