X(x-3)(4x-8)=0

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Solution for X(x-3)(4x-8)=0 equation: 


Simplifying
X(x + -3)(4x + -8) = 0

Reorder the terms:
X(-3 + x)(4x + -8) = 0

Reorder the terms:
X(-3 + x)(-8 + 4x) = 0

Multiply (-3 + x) * (-8 + 4x)
X(-3(-8 + 4x) + x(-8 + 4x)) = 0
X((-8 * -3 + 4x * -3) + x(-8 + 4x)) = 0
X((24 + -12x) + x(-8 + 4x)) = 0
X(24 + -12x + (-8 * x + 4x * x)) = 0
X(24 + -12x + (-8x + 4x2)) = 0

Combine like terms: -12x + -8x = -20x
X(24 + -20x + 4x2) = 0
(24 * X + -20x * X + 4x2 * X) = 0
(24X + -20xX + 4x2X) = 0

Solving
24X + -20xX + 4x2X = 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), '4X'.
4X(6 + -5x + x2) = 0

Factor a trinomial.
4X((2 + -1x)(3 + -1x)) = 0

Ignore the factor 4.

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 '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Add 'x' to each side of the equation.
-1x + x = -2 + x

Combine like terms: -1x + x = 0
0 = -2 + x

Simplifying
0 = -2 + x

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 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Add 'x' to each side of the equation.
-1x + x = -3 + x

Combine like terms: -1x + x = 0
0 = -3 + x

Simplifying
0 = -3 + 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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