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

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


Simplifying
X(2x + 5)(x + -4) = 0

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

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

Multiply (5 + 2x) * (-4 + x)
X(5(-4 + x) + 2x * (-4 + x)) = 0
X((-4 * 5 + x * 5) + 2x * (-4 + x)) = 0
X((-20 + 5x) + 2x * (-4 + x)) = 0
X(-20 + 5x + (-4 * 2x + x * 2x)) = 0
X(-20 + 5x + (-8x + 2x2)) = 0

Combine like terms: 5x + -8x = -3x
X(-20 + -3x + 2x2) = 0
(-20 * X + -3x * X + 2x2 * X) = 0
(-20X + -3xX + 2x2X) = 0

Solving
-20X + -3xX + 2x2X = 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(-20 + -3x + 2x2) = 0

Factor a trinomial.
X((-5 + -2x)(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 '(-5 + -2x)' equal to zero and attempt to solve:

Simplifying
-5 + -2x = 0

Solving
-5 + -2x = 0

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

Add '5' to each side of the equation.
-5 + 5 + -2x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -2x = 0 + 5
-2x = 0 + 5

Combine like terms: 0 + 5 = 5
-2x = 5

Add '2x' to each side of the equation.
-2x + 2x = 5 + 2x

Combine like terms: -2x + 2x = 0
0 = 5 + 2x

Simplifying
0 = 5 + 2x

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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