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

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Solution for X(3x-4)+x(3x-2)=(6x+6)(x-3) equation: 


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

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

Reorder the terms:
-4X + 3xX + x(-2 + 3x) = (6x + 6)(x + -3)
-4X + 3xX + (-2 * x + 3x * x) = (6x + 6)(x + -3)
-4X + 3xX + (-2x + 3x2) = (6x + 6)(x + -3)

Reorder the terms:
-4X + -2x + 3xX + 3x2 = (6x + 6)(x + -3)

Reorder the terms:
-4X + -2x + 3xX + 3x2 = (6 + 6x)(x + -3)

Reorder the terms:
-4X + -2x + 3xX + 3x2 = (6 + 6x)(-3 + x)

Multiply (6 + 6x) * (-3 + x)
-4X + -2x + 3xX + 3x2 = (6(-3 + x) + 6x * (-3 + x))
-4X + -2x + 3xX + 3x2 = ((-3 * 6 + x * 6) + 6x * (-3 + x))
-4X + -2x + 3xX + 3x2 = ((-18 + 6x) + 6x * (-3 + x))
-4X + -2x + 3xX + 3x2 = (-18 + 6x + (-3 * 6x + x * 6x))
-4X + -2x + 3xX + 3x2 = (-18 + 6x + (-18x + 6x2))

Combine like terms: 6x + -18x = -12x
-4X + -2x + 3xX + 3x2 = (-18 + -12x + 6x2)

Solving
-4X + -2x + 3xX + 3x2 = -18 + -12x + 6x2

Solving for variable 'X'.

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

Add '2x' to each side of the equation.
-4X + -2x + 3xX + 2x + 3x2 = -18 + -12x + 2x + 6x2

Reorder the terms:
-4X + -2x + 2x + 3xX + 3x2 = -18 + -12x + 2x + 6x2

Combine like terms: -2x + 2x = 0
-4X + 0 + 3xX + 3x2 = -18 + -12x + 2x + 6x2
-4X + 3xX + 3x2 = -18 + -12x + 2x + 6x2

Combine like terms: -12x + 2x = -10x
-4X + 3xX + 3x2 = -18 + -10x + 6x2

Add '-3x2' to each side of the equation.
-4X + 3xX + 3x2 + -3x2 = -18 + -10x + 6x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-4X + 3xX + 0 = -18 + -10x + 6x2 + -3x2
-4X + 3xX = -18 + -10x + 6x2 + -3x2

Combine like terms: 6x2 + -3x2 = 3x2
-4X + 3xX = -18 + -10x + 3x2

Reorder the terms:
18 + -4X + 10x + 3xX + -3x2 = -18 + -10x + 3x2 + 18 + 10x + -3x2

Reorder the terms:
18 + -4X + 10x + 3xX + -3x2 = -18 + 18 + -10x + 10x + 3x2 + -3x2

Combine like terms: -18 + 18 = 0
18 + -4X + 10x + 3xX + -3x2 = 0 + -10x + 10x + 3x2 + -3x2
18 + -4X + 10x + 3xX + -3x2 = -10x + 10x + 3x2 + -3x2

Combine like terms: -10x + 10x = 0
18 + -4X + 10x + 3xX + -3x2 = 0 + 3x2 + -3x2
18 + -4X + 10x + 3xX + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
18 + -4X + 10x + 3xX + -3x2 = 0

The solution to this equation could not be determined.

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