(X^2-3x-28)(3x-12)=0

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Solution for (X^2-3x-28)(3x-12)=0 equation: 


Simplifying
(X2 + -3x + -28)(3x + -12) = 0

Reorder the terms:
(-28 + X2 + -3x)(3x + -12) = 0

Reorder the terms:
(-28 + X2 + -3x)(-12 + 3x) = 0

Multiply (-28 + X2 + -3x) * (-12 + 3x)
(-28(-12 + 3x) + X2(-12 + 3x) + -3x * (-12 + 3x)) = 0
((-12 * -28 + 3x * -28) + X2(-12 + 3x) + -3x * (-12 + 3x)) = 0
((336 + -84x) + X2(-12 + 3x) + -3x * (-12 + 3x)) = 0
(336 + -84x + (-12 * X2 + 3x * X2) + -3x * (-12 + 3x)) = 0
(336 + -84x + (-12X2 + 3xX2) + -3x * (-12 + 3x)) = 0
(336 + -84x + -12X2 + 3xX2 + (-12 * -3x + 3x * -3x)) = 0
(336 + -84x + -12X2 + 3xX2 + (36x + -9x2)) = 0

Reorder the terms:
(336 + -12X2 + -84x + 36x + 3xX2 + -9x2) = 0

Combine like terms: -84x + 36x = -48x
(336 + -12X2 + -48x + 3xX2 + -9x2) = 0

Solving
336 + -12X2 + -48x + 3xX2 + -9x2 = 0

Solving for variable 'X'.

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

Add '-336' to each side of the equation.
336 + -12X2 + -48x + 3xX2 + -336 + -9x2 = 0 + -336

Reorder the terms:
336 + -336 + -12X2 + -48x + 3xX2 + -9x2 = 0 + -336

Combine like terms: 336 + -336 = 0
0 + -12X2 + -48x + 3xX2 + -9x2 = 0 + -336
-12X2 + -48x + 3xX2 + -9x2 = 0 + -336

Combine like terms: 0 + -336 = -336
-12X2 + -48x + 3xX2 + -9x2 = -336

Add '48x' to each side of the equation.
-12X2 + -48x + 3xX2 + 48x + -9x2 = -336 + 48x

Reorder the terms:
-12X2 + -48x + 48x + 3xX2 + -9x2 = -336 + 48x

Combine like terms: -48x + 48x = 0
-12X2 + 0 + 3xX2 + -9x2 = -336 + 48x
-12X2 + 3xX2 + -9x2 = -336 + 48x

Add '9x2' to each side of the equation.
-12X2 + 3xX2 + -9x2 + 9x2 = -336 + 48x + 9x2

Combine like terms: -9x2 + 9x2 = 0
-12X2 + 3xX2 + 0 = -336 + 48x + 9x2
-12X2 + 3xX2 = -336 + 48x + 9x2

Reorder the terms:
336 + -12X2 + -48x + 3xX2 + -9x2 = -336 + 48x + 9x2 + 336 + -48x + -9x2

Reorder the terms:
336 + -12X2 + -48x + 3xX2 + -9x2 = -336 + 336 + 48x + -48x + 9x2 + -9x2

Combine like terms: -336 + 336 = 0
336 + -12X2 + -48x + 3xX2 + -9x2 = 0 + 48x + -48x + 9x2 + -9x2
336 + -12X2 + -48x + 3xX2 + -9x2 = 48x + -48x + 9x2 + -9x2

Combine like terms: 48x + -48x = 0
336 + -12X2 + -48x + 3xX2 + -9x2 = 0 + 9x2 + -9x2
336 + -12X2 + -48x + 3xX2 + -9x2 = 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
336 + -12X2 + -48x + 3xX2 + -9x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(112 + -4X2 + -16x + xX2 + -3x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(112 + -4X2 + -16x + xX2 + -3x2)' equal to zero and attempt to solve:

Simplifying
112 + -4X2 + -16x + xX2 + -3x2 = 0

Solving
112 + -4X2 + -16x + xX2 + -3x2 = 0

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

Add '-112' to each side of the equation.
112 + -4X2 + -16x + xX2 + -112 + -3x2 = 0 + -112

Reorder the terms:
112 + -112 + -4X2 + -16x + xX2 + -3x2 = 0 + -112

Combine like terms: 112 + -112 = 0
0 + -4X2 + -16x + xX2 + -3x2 = 0 + -112
-4X2 + -16x + xX2 + -3x2 = 0 + -112

Combine like terms: 0 + -112 = -112
-4X2 + -16x + xX2 + -3x2 = -112

Add '16x' to each side of the equation.
-4X2 + -16x + xX2 + 16x + -3x2 = -112 + 16x

Reorder the terms:
-4X2 + -16x + 16x + xX2 + -3x2 = -112 + 16x

Combine like terms: -16x + 16x = 0
-4X2 + 0 + xX2 + -3x2 = -112 + 16x
-4X2 + xX2 + -3x2 = -112 + 16x

Add '3x2' to each side of the equation.
-4X2 + xX2 + -3x2 + 3x2 = -112 + 16x + 3x2

Combine like terms: -3x2 + 3x2 = 0
-4X2 + xX2 + 0 = -112 + 16x + 3x2
-4X2 + xX2 = -112 + 16x + 3x2

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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