X(2x-2)+x(3x-2)=(5x+7)(x-2)

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Solution for X(2x-2)+x(3x-2)=(5x+7)(x-2) equation: 


Simplifying
X(2x + -2) + x(3x + -2) = (5x + 7)(x + -2)

Reorder the terms:
X(-2 + 2x) + x(3x + -2) = (5x + 7)(x + -2)
(-2 * X + 2x * X) + x(3x + -2) = (5x + 7)(x + -2)
(-2X + 2xX) + x(3x + -2) = (5x + 7)(x + -2)

Reorder the terms:
-2X + 2xX + x(-2 + 3x) = (5x + 7)(x + -2)
-2X + 2xX + (-2 * x + 3x * x) = (5x + 7)(x + -2)
-2X + 2xX + (-2x + 3x2) = (5x + 7)(x + -2)

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

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

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

Multiply (7 + 5x) * (-2 + x)
-2X + -2x + 2xX + 3x2 = (7(-2 + x) + 5x * (-2 + x))
-2X + -2x + 2xX + 3x2 = ((-2 * 7 + x * 7) + 5x * (-2 + x))
-2X + -2x + 2xX + 3x2 = ((-14 + 7x) + 5x * (-2 + x))
-2X + -2x + 2xX + 3x2 = (-14 + 7x + (-2 * 5x + x * 5x))
-2X + -2x + 2xX + 3x2 = (-14 + 7x + (-10x + 5x2))

Combine like terms: 7x + -10x = -3x
-2X + -2x + 2xX + 3x2 = (-14 + -3x + 5x2)

Solving
-2X + -2x + 2xX + 3x2 = -14 + -3x + 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 + 2xX + 2x + 3x2 = -14 + -3x + 2x + 5x2

Reorder the terms:
-2X + -2x + 2x + 2xX + 3x2 = -14 + -3x + 2x + 5x2

Combine like terms: -2x + 2x = 0
-2X + 0 + 2xX + 3x2 = -14 + -3x + 2x + 5x2
-2X + 2xX + 3x2 = -14 + -3x + 2x + 5x2

Combine like terms: -3x + 2x = -1x
-2X + 2xX + 3x2 = -14 + -1x + 5x2

Add '-3x2' to each side of the equation.
-2X + 2xX + 3x2 + -3x2 = -14 + -1x + 5x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-2X + 2xX + 0 = -14 + -1x + 5x2 + -3x2
-2X + 2xX = -14 + -1x + 5x2 + -3x2

Combine like terms: 5x2 + -3x2 = 2x2
-2X + 2xX = -14 + -1x + 2x2

Reorder the terms:
14 + -2X + x + 2xX + -2x2 = -14 + -1x + 2x2 + 14 + x + -2x2

Reorder the terms:
14 + -2X + x + 2xX + -2x2 = -14 + 14 + -1x + x + 2x2 + -2x2

Combine like terms: -14 + 14 = 0
14 + -2X + x + 2xX + -2x2 = 0 + -1x + x + 2x2 + -2x2
14 + -2X + x + 2xX + -2x2 = -1x + x + 2x2 + -2x2

Combine like terms: -1x + x = 0
14 + -2X + x + 2xX + -2x2 = 0 + 2x2 + -2x2
14 + -2X + x + 2xX + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
14 + -2X + x + 2xX + -2x2 = 0

The solution to this equation could not be determined.

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