X(2x-3)+x(3x-2)=(5x+9)(x-4)

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Solution for X(2x-3)+x(3x-2)=(5x+9)(x-4) equation: 


Simplifying
X(2x + -3) + x(3x + -2) = (5x + 9)(x + -4)

Reorder the terms:
X(-3 + 2x) + x(3x + -2) = (5x + 9)(x + -4)
(-3 * X + 2x * X) + x(3x + -2) = (5x + 9)(x + -4)
(-3X + 2xX) + x(3x + -2) = (5x + 9)(x + -4)

Reorder the terms:
-3X + 2xX + x(-2 + 3x) = (5x + 9)(x + -4)
-3X + 2xX + (-2 * x + 3x * x) = (5x + 9)(x + -4)
-3X + 2xX + (-2x + 3x2) = (5x + 9)(x + -4)

Reorder the terms:
-3X + -2x + 2xX + 3x2 = (5x + 9)(x + -4)

Reorder the terms:
-3X + -2x + 2xX + 3x2 = (9 + 5x)(x + -4)

Reorder the terms:
-3X + -2x + 2xX + 3x2 = (9 + 5x)(-4 + x)

Multiply (9 + 5x) * (-4 + x)
-3X + -2x + 2xX + 3x2 = (9(-4 + x) + 5x * (-4 + x))
-3X + -2x + 2xX + 3x2 = ((-4 * 9 + x * 9) + 5x * (-4 + x))
-3X + -2x + 2xX + 3x2 = ((-36 + 9x) + 5x * (-4 + x))
-3X + -2x + 2xX + 3x2 = (-36 + 9x + (-4 * 5x + x * 5x))
-3X + -2x + 2xX + 3x2 = (-36 + 9x + (-20x + 5x2))

Combine like terms: 9x + -20x = -11x
-3X + -2x + 2xX + 3x2 = (-36 + -11x + 5x2)

Solving
-3X + -2x + 2xX + 3x2 = -36 + -11x + 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.
-3X + -2x + 2xX + 2x + 3x2 = -36 + -11x + 2x + 5x2

Reorder the terms:
-3X + -2x + 2x + 2xX + 3x2 = -36 + -11x + 2x + 5x2

Combine like terms: -2x + 2x = 0
-3X + 0 + 2xX + 3x2 = -36 + -11x + 2x + 5x2
-3X + 2xX + 3x2 = -36 + -11x + 2x + 5x2

Combine like terms: -11x + 2x = -9x
-3X + 2xX + 3x2 = -36 + -9x + 5x2

Add '-3x2' to each side of the equation.
-3X + 2xX + 3x2 + -3x2 = -36 + -9x + 5x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-3X + 2xX + 0 = -36 + -9x + 5x2 + -3x2
-3X + 2xX = -36 + -9x + 5x2 + -3x2

Combine like terms: 5x2 + -3x2 = 2x2
-3X + 2xX = -36 + -9x + 2x2

Reorder the terms:
36 + -3X + 9x + 2xX + -2x2 = -36 + -9x + 2x2 + 36 + 9x + -2x2

Reorder the terms:
36 + -3X + 9x + 2xX + -2x2 = -36 + 36 + -9x + 9x + 2x2 + -2x2

Combine like terms: -36 + 36 = 0
36 + -3X + 9x + 2xX + -2x2 = 0 + -9x + 9x + 2x2 + -2x2
36 + -3X + 9x + 2xX + -2x2 = -9x + 9x + 2x2 + -2x2

Combine like terms: -9x + 9x = 0
36 + -3X + 9x + 2xX + -2x2 = 0 + 2x2 + -2x2
36 + -3X + 9x + 2xX + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
36 + -3X + 9x + 2xX + -2x2 = 0

The solution to this equation could not be determined.

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