(X+2)*(x+2)=(x+6)*(x-6)

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Solution for (X+2)*(x+2)=(x+6)*(x-6) equation: 


Simplifying
(X + 2)(x + 2) = (x + 6)(x + -6)

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

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

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

Reorder the terms:
(4 + 2X + 2x + xX) = (x + 6)(x + -6)
(4 + 2X + 2x + xX) = (x + 6)(x + -6)

Reorder the terms:
4 + 2X + 2x + xX = (6 + x)(x + -6)

Reorder the terms:
4 + 2X + 2x + xX = (6 + x)(-6 + x)

Multiply (6 + x) * (-6 + x)
4 + 2X + 2x + xX = (6(-6 + x) + x(-6 + x))
4 + 2X + 2x + xX = ((-6 * 6 + x * 6) + x(-6 + x))
4 + 2X + 2x + xX = ((-36 + 6x) + x(-6 + x))
4 + 2X + 2x + xX = (-36 + 6x + (-6 * x + x * x))
4 + 2X + 2x + xX = (-36 + 6x + (-6x + x2))

Combine like terms: 6x + -6x = 0
4 + 2X + 2x + xX = (-36 + 0 + x2)
4 + 2X + 2x + xX = (-36 + x2)

Solving
4 + 2X + 2x + xX = -36 + 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 = -36 + -4 + x2

Reorder the terms:
4 + -4 + 2X + 2x + xX = -36 + -4 + x2

Combine like terms: 4 + -4 = 0
0 + 2X + 2x + xX = -36 + -4 + x2
2X + 2x + xX = -36 + -4 + x2

Combine like terms: -36 + -4 = -40
2X + 2x + xX = -40 + x2

Add '-2x' to each side of the equation.
2X + 2x + -2x + xX = -40 + -2x + x2

Combine like terms: 2x + -2x = 0
2X + 0 + xX = -40 + -2x + x2
2X + xX = -40 + -2x + x2

Reorder the terms:
40 + 2X + 2x + xX + -1x2 = -40 + -2x + x2 + 40 + 2x + -1x2

Reorder the terms:
40 + 2X + 2x + xX + -1x2 = -40 + 40 + -2x + 2x + x2 + -1x2

Combine like terms: -40 + 40 = 0
40 + 2X + 2x + xX + -1x2 = 0 + -2x + 2x + x2 + -1x2
40 + 2X + 2x + xX + -1x2 = -2x + 2x + x2 + -1x2

Combine like terms: -2x + 2x = 0
40 + 2X + 2x + xX + -1x2 = 0 + x2 + -1x2
40 + 2X + 2x + xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
40 + 2X + 2x + xX + -1x2 = 0

The solution to this equation could not be determined.

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