X(3x-2)+x(2x-2)=(5x+3)(x-2)

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Solution for X(3x-2)+x(2x-2)=(5x+3)(x-2) equation: 


Simplifying
X(3x + -2) + x(2x + -2) = (5x + 3)(x + -2)

Reorder the terms:
X(-2 + 3x) + x(2x + -2) = (5x + 3)(x + -2)
(-2 * X + 3x * X) + x(2x + -2) = (5x + 3)(x + -2)
(-2X + 3xX) + x(2x + -2) = (5x + 3)(x + -2)

Reorder the terms:
-2X + 3xX + x(-2 + 2x) = (5x + 3)(x + -2)
-2X + 3xX + (-2 * x + 2x * x) = (5x + 3)(x + -2)
-2X + 3xX + (-2x + 2x2) = (5x + 3)(x + -2)

Reorder the terms:
-2X + -2x + 3xX + 2x2 = (5x + 3)(x + -2)

Reorder the terms:
-2X + -2x + 3xX + 2x2 = (3 + 5x)(x + -2)

Reorder the terms:
-2X + -2x + 3xX + 2x2 = (3 + 5x)(-2 + x)

Multiply (3 + 5x) * (-2 + x)
-2X + -2x + 3xX + 2x2 = (3(-2 + x) + 5x * (-2 + x))
-2X + -2x + 3xX + 2x2 = ((-2 * 3 + x * 3) + 5x * (-2 + x))
-2X + -2x + 3xX + 2x2 = ((-6 + 3x) + 5x * (-2 + x))
-2X + -2x + 3xX + 2x2 = (-6 + 3x + (-2 * 5x + x * 5x))
-2X + -2x + 3xX + 2x2 = (-6 + 3x + (-10x + 5x2))

Combine like terms: 3x + -10x = -7x
-2X + -2x + 3xX + 2x2 = (-6 + -7x + 5x2)

Solving
-2X + -2x + 3xX + 2x2 = -6 + -7x + 5x2

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.
-2X + -2x + 3xX + 2x + 2x2 = -6 + -7x + 2x + 5x2

Reorder the terms:
-2X + -2x + 2x + 3xX + 2x2 = -6 + -7x + 2x + 5x2

Combine like terms: -2x + 2x = 0
-2X + 0 + 3xX + 2x2 = -6 + -7x + 2x + 5x2
-2X + 3xX + 2x2 = -6 + -7x + 2x + 5x2

Combine like terms: -7x + 2x = -5x
-2X + 3xX + 2x2 = -6 + -5x + 5x2

Add '-2x2' to each side of the equation.
-2X + 3xX + 2x2 + -2x2 = -6 + -5x + 5x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-2X + 3xX + 0 = -6 + -5x + 5x2 + -2x2
-2X + 3xX = -6 + -5x + 5x2 + -2x2

Combine like terms: 5x2 + -2x2 = 3x2
-2X + 3xX = -6 + -5x + 3x2

Reorder the terms:
6 + -2X + 5x + 3xX + -3x2 = -6 + -5x + 3x2 + 6 + 5x + -3x2

Reorder the terms:
6 + -2X + 5x + 3xX + -3x2 = -6 + 6 + -5x + 5x + 3x2 + -3x2

Combine like terms: -6 + 6 = 0
6 + -2X + 5x + 3xX + -3x2 = 0 + -5x + 5x + 3x2 + -3x2
6 + -2X + 5x + 3xX + -3x2 = -5x + 5x + 3x2 + -3x2

Combine like terms: -5x + 5x = 0
6 + -2X + 5x + 3xX + -3x2 = 0 + 3x2 + -3x2
6 + -2X + 5x + 3xX + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
6 + -2X + 5x + 3xX + -3x2 = 0

The solution to this equation could not be determined.

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