(X-2)(2x+6)(03x-4)=

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Solution for (X-2)(2x+6)(03x-4)= equation: 


Simplifying
(X + -2)(2x + 6)(3x + -4) = 0

Reorder the terms:
(-2 + X)(2x + 6)(3x + -4) = 0

Reorder the terms:
(-2 + X)(6 + 2x)(3x + -4) = 0

Reorder the terms:
(-2 + X)(6 + 2x)(-4 + 3x) = 0

Multiply (-2 + X) * (6 + 2x)
(-2(6 + 2x) + X(6 + 2x))(-4 + 3x) = 0
((6 * -2 + 2x * -2) + X(6 + 2x))(-4 + 3x) = 0
((-12 + -4x) + X(6 + 2x))(-4 + 3x) = 0
(-12 + -4x + (6 * X + 2x * X))(-4 + 3x) = 0
(-12 + -4x + (6X + 2xX))(-4 + 3x) = 0

Reorder the terms:
(-12 + 6X + -4x + 2xX)(-4 + 3x) = 0
(-12 + 6X + -4x + 2xX)(-4 + 3x) = 0

Multiply (-12 + 6X + -4x + 2xX) * (-4 + 3x)
(-12(-4 + 3x) + 6X * (-4 + 3x) + -4x * (-4 + 3x) + 2xX * (-4 + 3x)) = 0
((-4 * -12 + 3x * -12) + 6X * (-4 + 3x) + -4x * (-4 + 3x) + 2xX * (-4 + 3x)) = 0
((48 + -36x) + 6X * (-4 + 3x) + -4x * (-4 + 3x) + 2xX * (-4 + 3x)) = 0
(48 + -36x + (-4 * 6X + 3x * 6X) + -4x * (-4 + 3x) + 2xX * (-4 + 3x)) = 0
(48 + -36x + (-24X + 18xX) + -4x * (-4 + 3x) + 2xX * (-4 + 3x)) = 0
(48 + -36x + -24X + 18xX + (-4 * -4x + 3x * -4x) + 2xX * (-4 + 3x)) = 0
(48 + -36x + -24X + 18xX + (16x + -12x2) + 2xX * (-4 + 3x)) = 0
(48 + -36x + -24X + 18xX + 16x + -12x2 + (-4 * 2xX + 3x * 2xX)) = 0
(48 + -36x + -24X + 18xX + 16x + -12x2 + (-8xX + 6x2X)) = 0

Reorder the terms:
(48 + -24X + -36x + 16x + 18xX + -8xX + -12x2 + 6x2X) = 0

Combine like terms: -36x + 16x = -20x
(48 + -24X + -20x + 18xX + -8xX + -12x2 + 6x2X) = 0

Combine like terms: 18xX + -8xX = 10xX
(48 + -24X + -20x + 10xX + -12x2 + 6x2X) = 0

Solving
48 + -24X + -20x + 10xX + -12x2 + 6x2X = 0

Solving for variable 'X'.

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

Add '-48' to each side of the equation.
48 + -24X + -20x + 10xX + -12x2 + -48 + 6x2X = 0 + -48

Reorder the terms:
48 + -48 + -24X + -20x + 10xX + -12x2 + 6x2X = 0 + -48

Combine like terms: 48 + -48 = 0
0 + -24X + -20x + 10xX + -12x2 + 6x2X = 0 + -48
-24X + -20x + 10xX + -12x2 + 6x2X = 0 + -48

Combine like terms: 0 + -48 = -48
-24X + -20x + 10xX + -12x2 + 6x2X = -48

Add '20x' to each side of the equation.
-24X + -20x + 10xX + -12x2 + 20x + 6x2X = -48 + 20x

Reorder the terms:
-24X + -20x + 20x + 10xX + -12x2 + 6x2X = -48 + 20x

Combine like terms: -20x + 20x = 0
-24X + 0 + 10xX + -12x2 + 6x2X = -48 + 20x
-24X + 10xX + -12x2 + 6x2X = -48 + 20x

Add '12x2' to each side of the equation.
-24X + 10xX + -12x2 + 12x2 + 6x2X = -48 + 20x + 12x2

Combine like terms: -12x2 + 12x2 = 0
-24X + 10xX + 0 + 6x2X = -48 + 20x + 12x2
-24X + 10xX + 6x2X = -48 + 20x + 12x2

Reorder the terms:
48 + -24X + -20x + 10xX + -12x2 + 6x2X = -48 + 20x + 12x2 + 48 + -20x + -12x2

Reorder the terms:
48 + -24X + -20x + 10xX + -12x2 + 6x2X = -48 + 48 + 20x + -20x + 12x2 + -12x2

Combine like terms: -48 + 48 = 0
48 + -24X + -20x + 10xX + -12x2 + 6x2X = 0 + 20x + -20x + 12x2 + -12x2
48 + -24X + -20x + 10xX + -12x2 + 6x2X = 20x + -20x + 12x2 + -12x2

Combine like terms: 20x + -20x = 0
48 + -24X + -20x + 10xX + -12x2 + 6x2X = 0 + 12x2 + -12x2
48 + -24X + -20x + 10xX + -12x2 + 6x2X = 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
48 + -24X + -20x + 10xX + -12x2 + 6x2X = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(24 + -12X + -10x + 5xX + -6x2 + 3x2X) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(24 + -12X + -10x + 5xX + -6x2 + 3x2X)' equal to zero and attempt to solve:

Simplifying
24 + -12X + -10x + 5xX + -6x2 + 3x2X = 0

Solving
24 + -12X + -10x + 5xX + -6x2 + 3x2X = 0

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

Add '-24' to each side of the equation.
24 + -12X + -10x + 5xX + -6x2 + -24 + 3x2X = 0 + -24

Reorder the terms:
24 + -24 + -12X + -10x + 5xX + -6x2 + 3x2X = 0 + -24

Combine like terms: 24 + -24 = 0
0 + -12X + -10x + 5xX + -6x2 + 3x2X = 0 + -24
-12X + -10x + 5xX + -6x2 + 3x2X = 0 + -24

Combine like terms: 0 + -24 = -24
-12X + -10x + 5xX + -6x2 + 3x2X = -24

Add '10x' to each side of the equation.
-12X + -10x + 5xX + -6x2 + 10x + 3x2X = -24 + 10x

Reorder the terms:
-12X + -10x + 10x + 5xX + -6x2 + 3x2X = -24 + 10x

Combine like terms: -10x + 10x = 0
-12X + 0 + 5xX + -6x2 + 3x2X = -24 + 10x
-12X + 5xX + -6x2 + 3x2X = -24 + 10x

Add '6x2' to each side of the equation.
-12X + 5xX + -6x2 + 6x2 + 3x2X = -24 + 10x + 6x2

Combine like terms: -6x2 + 6x2 = 0
-12X + 5xX + 0 + 3x2X = -24 + 10x + 6x2
-12X + 5xX + 3x2X = -24 + 10x + 6x2

The solution to this equation could not be determined.

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

The solution to this equation could not be determined.

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