(4x-2)(7x+1)(12X-6)=0

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Solution for (4x-2)(7x+1)(12X-6)=0 equation: 


Simplifying
(4x + -2)(7x + 1)(12X + -6) = 0

Reorder the terms:
(-2 + 4x)(7x + 1)(12X + -6) = 0

Reorder the terms:
(-2 + 4x)(1 + 7x)(12X + -6) = 0

Reorder the terms:
(-2 + 4x)(1 + 7x)(-6 + 12X) = 0

Multiply (-2 + 4x) * (1 + 7x)
(-2(1 + 7x) + 4x * (1 + 7x))(-6 + 12X) = 0
((1 * -2 + 7x * -2) + 4x * (1 + 7x))(-6 + 12X) = 0
((-2 + -14x) + 4x * (1 + 7x))(-6 + 12X) = 0
(-2 + -14x + (1 * 4x + 7x * 4x))(-6 + 12X) = 0
(-2 + -14x + (4x + 28x2))(-6 + 12X) = 0

Combine like terms: -14x + 4x = -10x
(-2 + -10x + 28x2)(-6 + 12X) = 0

Multiply (-2 + -10x + 28x2) * (-6 + 12X)
(-2(-6 + 12X) + -10x * (-6 + 12X) + 28x2 * (-6 + 12X)) = 0
((-6 * -2 + 12X * -2) + -10x * (-6 + 12X) + 28x2 * (-6 + 12X)) = 0
((12 + -24X) + -10x * (-6 + 12X) + 28x2 * (-6 + 12X)) = 0
(12 + -24X + (-6 * -10x + 12X * -10x) + 28x2 * (-6 + 12X)) = 0
(12 + -24X + (60x + -120xX) + 28x2 * (-6 + 12X)) = 0
(12 + -24X + 60x + -120xX + (-6 * 28x2 + 12X * 28x2)) = 0
(12 + -24X + 60x + -120xX + (-168x2 + 336x2X)) = 0
(12 + -24X + 60x + -120xX + -168x2 + 336x2X) = 0

Solving
12 + -24X + 60x + -120xX + -168x2 + 336x2X = 0

Solving for variable 'X'.

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

Add '-12' to each side of the equation.
12 + -24X + 60x + -120xX + -168x2 + -12 + 336x2X = 0 + -12

Reorder the terms:
12 + -12 + -24X + 60x + -120xX + -168x2 + 336x2X = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -24X + 60x + -120xX + -168x2 + 336x2X = 0 + -12
-24X + 60x + -120xX + -168x2 + 336x2X = 0 + -12

Combine like terms: 0 + -12 = -12
-24X + 60x + -120xX + -168x2 + 336x2X = -12

Add '-60x' to each side of the equation.
-24X + 60x + -120xX + -168x2 + -60x + 336x2X = -12 + -60x

Reorder the terms:
-24X + 60x + -60x + -120xX + -168x2 + 336x2X = -12 + -60x

Combine like terms: 60x + -60x = 0
-24X + 0 + -120xX + -168x2 + 336x2X = -12 + -60x
-24X + -120xX + -168x2 + 336x2X = -12 + -60x

Add '168x2' to each side of the equation.
-24X + -120xX + -168x2 + 168x2 + 336x2X = -12 + -60x + 168x2

Combine like terms: -168x2 + 168x2 = 0
-24X + -120xX + 0 + 336x2X = -12 + -60x + 168x2
-24X + -120xX + 336x2X = -12 + -60x + 168x2

Reorder the terms:
12 + -24X + 60x + -120xX + -168x2 + 336x2X = -12 + -60x + 168x2 + 12 + 60x + -168x2

Reorder the terms:
12 + -24X + 60x + -120xX + -168x2 + 336x2X = -12 + 12 + -60x + 60x + 168x2 + -168x2

Combine like terms: -12 + 12 = 0
12 + -24X + 60x + -120xX + -168x2 + 336x2X = 0 + -60x + 60x + 168x2 + -168x2
12 + -24X + 60x + -120xX + -168x2 + 336x2X = -60x + 60x + 168x2 + -168x2

Combine like terms: -60x + 60x = 0
12 + -24X + 60x + -120xX + -168x2 + 336x2X = 0 + 168x2 + -168x2
12 + -24X + 60x + -120xX + -168x2 + 336x2X = 168x2 + -168x2

Combine like terms: 168x2 + -168x2 = 0
12 + -24X + 60x + -120xX + -168x2 + 336x2X = 0

Factor out the Greatest Common Factor (GCF), '12'.
12(1 + -2X + 5x + -10xX + -14x2 + 28x2X) = 0

Ignore the factor 12.

Subproblem 1
Set the factor '(1 + -2X + 5x + -10xX + -14x2 + 28x2X)' equal to zero and attempt to solve:

Simplifying
1 + -2X + 5x + -10xX + -14x2 + 28x2X = 0

Solving
1 + -2X + 5x + -10xX + -14x2 + 28x2X = 0

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

Add '-1' to each side of the equation.
1 + -2X + 5x + -10xX + -14x2 + -1 + 28x2X = 0 + -1

Reorder the terms:
1 + -1 + -2X + 5x + -10xX + -14x2 + 28x2X = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2X + 5x + -10xX + -14x2 + 28x2X = 0 + -1
-2X + 5x + -10xX + -14x2 + 28x2X = 0 + -1

Combine like terms: 0 + -1 = -1
-2X + 5x + -10xX + -14x2 + 28x2X = -1

Add '-5x' to each side of the equation.
-2X + 5x + -10xX + -14x2 + -5x + 28x2X = -1 + -5x

Reorder the terms:
-2X + 5x + -5x + -10xX + -14x2 + 28x2X = -1 + -5x

Combine like terms: 5x + -5x = 0
-2X + 0 + -10xX + -14x2 + 28x2X = -1 + -5x
-2X + -10xX + -14x2 + 28x2X = -1 + -5x

Add '14x2' to each side of the equation.
-2X + -10xX + -14x2 + 14x2 + 28x2X = -1 + -5x + 14x2

Combine like terms: -14x2 + 14x2 = 0
-2X + -10xX + 0 + 28x2X = -1 + -5x + 14x2
-2X + -10xX + 28x2X = -1 + -5x + 14x2

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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