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

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


Simplifying
X(x + -3) + 2(3 + -1x) = (x + 2)(x + 3) + 2(x + -3)

Reorder the terms:
X(-3 + x) + 2(3 + -1x) = (x + 2)(x + 3) + 2(x + -3)
(-3 * X + x * X) + 2(3 + -1x) = (x + 2)(x + 3) + 2(x + -3)
(-3X + xX) + 2(3 + -1x) = (x + 2)(x + 3) + 2(x + -3)
-3X + xX + (3 * 2 + -1x * 2) = (x + 2)(x + 3) + 2(x + -3)
-3X + xX + (6 + -2x) = (x + 2)(x + 3) + 2(x + -3)

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

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

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

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

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

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

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

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

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

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

Solving for variable 'X'.

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

Add '-6' to each side of the equation.
6 + -3X + -2x + -6 + xX = 7x + -6 + x2

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

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

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

Add '2x' to each side of the equation.
-3X + -2x + 2x + xX = -6 + 7x + 2x + x2

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

Combine like terms: 7x + 2x = 9x
-3X + xX = -6 + 9x + x2

Reorder the terms:
6 + -3X + -9x + xX + -1x2 = -6 + 9x + x2 + 6 + -9x + -1x2

Reorder the terms:
6 + -3X + -9x + xX + -1x2 = -6 + 6 + 9x + -9x + x2 + -1x2

Combine like terms: -6 + 6 = 0
6 + -3X + -9x + xX + -1x2 = 0 + 9x + -9x + x2 + -1x2
6 + -3X + -9x + xX + -1x2 = 9x + -9x + x2 + -1x2

Combine like terms: 9x + -9x = 0
6 + -3X + -9x + xX + -1x2 = 0 + x2 + -1x2
6 + -3X + -9x + xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
6 + -3X + -9x + xX + -1x2 = 0

The solution to this equation could not be determined.

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