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

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


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

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

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

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

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

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

Multiply (5 + 5x) * (-3 + x)
-2X + -3x + 3xX + 2x2 = (5(-3 + x) + 5x * (-3 + x))
-2X + -3x + 3xX + 2x2 = ((-3 * 5 + x * 5) + 5x * (-3 + x))
-2X + -3x + 3xX + 2x2 = ((-15 + 5x) + 5x * (-3 + x))
-2X + -3x + 3xX + 2x2 = (-15 + 5x + (-3 * 5x + x * 5x))
-2X + -3x + 3xX + 2x2 = (-15 + 5x + (-15x + 5x2))

Combine like terms: 5x + -15x = -10x
-2X + -3x + 3xX + 2x2 = (-15 + -10x + 5x2)

Solving
-2X + -3x + 3xX + 2x2 = -15 + -10x + 5x2

Solving for variable 'X'.

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

Add '3x' to each side of the equation.
-2X + -3x + 3xX + 3x + 2x2 = -15 + -10x + 3x + 5x2

Reorder the terms:
-2X + -3x + 3x + 3xX + 2x2 = -15 + -10x + 3x + 5x2

Combine like terms: -3x + 3x = 0
-2X + 0 + 3xX + 2x2 = -15 + -10x + 3x + 5x2
-2X + 3xX + 2x2 = -15 + -10x + 3x + 5x2

Combine like terms: -10x + 3x = -7x
-2X + 3xX + 2x2 = -15 + -7x + 5x2

Add '-2x2' to each side of the equation.
-2X + 3xX + 2x2 + -2x2 = -15 + -7x + 5x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-2X + 3xX + 0 = -15 + -7x + 5x2 + -2x2
-2X + 3xX = -15 + -7x + 5x2 + -2x2

Combine like terms: 5x2 + -2x2 = 3x2
-2X + 3xX = -15 + -7x + 3x2

Reorder the terms:
15 + -2X + 7x + 3xX + -3x2 = -15 + -7x + 3x2 + 15 + 7x + -3x2

Reorder the terms:
15 + -2X + 7x + 3xX + -3x2 = -15 + 15 + -7x + 7x + 3x2 + -3x2

Combine like terms: -15 + 15 = 0
15 + -2X + 7x + 3xX + -3x2 = 0 + -7x + 7x + 3x2 + -3x2
15 + -2X + 7x + 3xX + -3x2 = -7x + 7x + 3x2 + -3x2

Combine like terms: -7x + 7x = 0
15 + -2X + 7x + 3xX + -3x2 = 0 + 3x2 + -3x2
15 + -2X + 7x + 3xX + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
15 + -2X + 7x + 3xX + -3x2 = 0

The solution to this equation could not be determined.

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