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

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


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

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

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

Multiply (2 + X) * (2 + x)
(2(2 + x) + X(2 + x)) = (x + -3)(x + 2)
((2 * 2 + x * 2) + X(2 + x)) = (x + -3)(x + 2)
((4 + 2x) + X(2 + x)) = (x + -3)(x + 2)
(4 + 2x + (2 * X + x * X)) = (x + -3)(x + 2)
(4 + 2x + (2X + xX)) = (x + -3)(x + 2)

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

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

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

Multiply (-3 + x) * (2 + x)
4 + 2X + 2x + xX = (-3(2 + x) + x(2 + x))
4 + 2X + 2x + xX = ((2 * -3 + x * -3) + x(2 + x))
4 + 2X + 2x + xX = ((-6 + -3x) + x(2 + x))
4 + 2X + 2x + xX = (-6 + -3x + (2 * x + x * x))
4 + 2X + 2x + xX = (-6 + -3x + (2x + x2))

Combine like terms: -3x + 2x = -1x
4 + 2X + 2x + xX = (-6 + -1x + x2)

Solving
4 + 2X + 2x + xX = -6 + -1x + x2

Solving for variable 'X'.

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

Add '-4' to each side of the equation.
4 + 2X + 2x + -4 + xX = -6 + -1x + -4 + x2

Reorder the terms:
4 + -4 + 2X + 2x + xX = -6 + -1x + -4 + x2

Combine like terms: 4 + -4 = 0
0 + 2X + 2x + xX = -6 + -1x + -4 + x2
2X + 2x + xX = -6 + -1x + -4 + x2

Reorder the terms:
2X + 2x + xX = -6 + -4 + -1x + x2

Combine like terms: -6 + -4 = -10
2X + 2x + xX = -10 + -1x + x2

Add '-2x' to each side of the equation.
2X + 2x + -2x + xX = -10 + -1x + -2x + x2

Combine like terms: 2x + -2x = 0
2X + 0 + xX = -10 + -1x + -2x + x2
2X + xX = -10 + -1x + -2x + x2

Combine like terms: -1x + -2x = -3x
2X + xX = -10 + -3x + x2

Reorder the terms:
10 + 2X + 3x + xX + -1x2 = -10 + -3x + x2 + 10 + 3x + -1x2

Reorder the terms:
10 + 2X + 3x + xX + -1x2 = -10 + 10 + -3x + 3x + x2 + -1x2

Combine like terms: -10 + 10 = 0
10 + 2X + 3x + xX + -1x2 = 0 + -3x + 3x + x2 + -1x2
10 + 2X + 3x + xX + -1x2 = -3x + 3x + x2 + -1x2

Combine like terms: -3x + 3x = 0
10 + 2X + 3x + xX + -1x2 = 0 + x2 + -1x2
10 + 2X + 3x + xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
10 + 2X + 3x + xX + -1x2 = 0

The solution to this equation could not be determined.

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