X(5x-4)(2x-3)=0

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


Simplifying
X(5x + -4)(2x + -3) = 0

Reorder the terms:
X(-4 + 5x)(2x + -3) = 0

Reorder the terms:
X(-4 + 5x)(-3 + 2x) = 0

Multiply (-4 + 5x) * (-3 + 2x)
X(-4(-3 + 2x) + 5x * (-3 + 2x)) = 0
X((-3 * -4 + 2x * -4) + 5x * (-3 + 2x)) = 0
X((12 + -8x) + 5x * (-3 + 2x)) = 0
X(12 + -8x + (-3 * 5x + 2x * 5x)) = 0
X(12 + -8x + (-15x + 10x2)) = 0

Combine like terms: -8x + -15x = -23x
X(12 + -23x + 10x2) = 0
(12 * X + -23x * X + 10x2 * X) = 0
(12X + -23xX + 10x2X) = 0

Solving
12X + -23xX + 10x2X = 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(12 + -23x + 10x2) = 0

Factor a trinomial.
X((4 + -5x)(3 + -2x)) = 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 '(4 + -5x)' equal to zero and attempt to solve:

Simplifying
4 + -5x = 0

Solving
4 + -5x = 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 + -5x = 0 + -4

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

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

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

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

Simplifying
0 = -4 + 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 '(3 + -2x)' equal to zero and attempt to solve:

Simplifying
3 + -2x = 0

Solving
3 + -2x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Add '2x' to each side of the equation.
-2x + 2x = -3 + 2x

Combine like terms: -2x + 2x = 0
0 = -3 + 2x

Simplifying
0 = -3 + 2x

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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