2(X-2)+4(2x+3)(X-2)=4x(2x+3)

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


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

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

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

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

Multiply (3 + 2x) * (-2 + X)
-4 + 2X + 4(3(-2 + X) + 2x * (-2 + X)) = 4x(2x + 3)
-4 + 2X + 4((-2 * 3 + X * 3) + 2x * (-2 + X)) = 4x(2x + 3)
-4 + 2X + 4((-6 + 3X) + 2x * (-2 + X)) = 4x(2x + 3)
-4 + 2X + 4(-6 + 3X + (-2 * 2x + X * 2x)) = 4x(2x + 3)
-4 + 2X + 4(-6 + 3X + (-4x + 2xX)) = 4x(2x + 3)
-4 + 2X + 4(-6 + 3X + -4x + 2xX) = 4x(2x + 3)
-4 + 2X + (-6 * 4 + 3X * 4 + -4x * 4 + 2xX * 4) = 4x(2x + 3)
-4 + 2X + (-24 + 12X + -16x + 8xX) = 4x(2x + 3)

Reorder the terms:
-4 + -24 + 2X + 12X + -16x + 8xX = 4x(2x + 3)

Combine like terms: -4 + -24 = -28
-28 + 2X + 12X + -16x + 8xX = 4x(2x + 3)

Combine like terms: 2X + 12X = 14X
-28 + 14X + -16x + 8xX = 4x(2x + 3)

Reorder the terms:
-28 + 14X + -16x + 8xX = 4x(3 + 2x)
-28 + 14X + -16x + 8xX = (3 * 4x + 2x * 4x)
-28 + 14X + -16x + 8xX = (12x + 8x2)

Solving
-28 + 14X + -16x + 8xX = 12x + 8x2

Solving for variable 'X'.

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

Add '28' to each side of the equation.
-28 + 14X + -16x + 28 + 8xX = 12x + 28 + 8x2

Reorder the terms:
-28 + 28 + 14X + -16x + 8xX = 12x + 28 + 8x2

Combine like terms: -28 + 28 = 0
0 + 14X + -16x + 8xX = 12x + 28 + 8x2
14X + -16x + 8xX = 12x + 28 + 8x2

Reorder the terms:
14X + -16x + 8xX = 28 + 12x + 8x2

Add '16x' to each side of the equation.
14X + -16x + 16x + 8xX = 28 + 12x + 16x + 8x2

Combine like terms: -16x + 16x = 0
14X + 0 + 8xX = 28 + 12x + 16x + 8x2
14X + 8xX = 28 + 12x + 16x + 8x2

Combine like terms: 12x + 16x = 28x
14X + 8xX = 28 + 28x + 8x2

Reorder the terms:
-28 + 14X + -28x + 8xX + -8x2 = 28 + 28x + 8x2 + -28 + -28x + -8x2

Reorder the terms:
-28 + 14X + -28x + 8xX + -8x2 = 28 + -28 + 28x + -28x + 8x2 + -8x2

Combine like terms: 28 + -28 = 0
-28 + 14X + -28x + 8xX + -8x2 = 0 + 28x + -28x + 8x2 + -8x2
-28 + 14X + -28x + 8xX + -8x2 = 28x + -28x + 8x2 + -8x2

Combine like terms: 28x + -28x = 0
-28 + 14X + -28x + 8xX + -8x2 = 0 + 8x2 + -8x2
-28 + 14X + -28x + 8xX + -8x2 = 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
-28 + 14X + -28x + 8xX + -8x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-14 + 7X + -14x + 4xX + -4x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-14 + 7X + -14x + 4xX + -4x2)' equal to zero and attempt to solve:

Simplifying
-14 + 7X + -14x + 4xX + -4x2 = 0

Solving
-14 + 7X + -14x + 4xX + -4x2 = 0

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

Add '14' to each side of the equation.
-14 + 7X + -14x + 4xX + 14 + -4x2 = 0 + 14

Reorder the terms:
-14 + 14 + 7X + -14x + 4xX + -4x2 = 0 + 14

Combine like terms: -14 + 14 = 0
0 + 7X + -14x + 4xX + -4x2 = 0 + 14
7X + -14x + 4xX + -4x2 = 0 + 14

Combine like terms: 0 + 14 = 14
7X + -14x + 4xX + -4x2 = 14

Add '14x' to each side of the equation.
7X + -14x + 4xX + 14x + -4x2 = 14 + 14x

Reorder the terms:
7X + -14x + 14x + 4xX + -4x2 = 14 + 14x

Combine like terms: -14x + 14x = 0
7X + 0 + 4xX + -4x2 = 14 + 14x
7X + 4xX + -4x2 = 14 + 14x

Add '4x2' to each side of the equation.
7X + 4xX + -4x2 + 4x2 = 14 + 14x + 4x2

Combine like terms: -4x2 + 4x2 = 0
7X + 4xX + 0 = 14 + 14x + 4x2
7X + 4xX = 14 + 14x + 4x2

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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