(X-2)(x-2)-(x-2)(x+2)=4-x

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


Simplifying
(X + -2)(x + -2) + -1(x + -2)(x + 2) = 4 + -1x

Reorder the terms:
(-2 + X)(x + -2) + -1(x + -2)(x + 2) = 4 + -1x

Reorder the terms:
(-2 + X)(-2 + x) + -1(x + -2)(x + 2) = 4 + -1x

Multiply (-2 + X) * (-2 + x)
(-2(-2 + x) + X(-2 + x)) + -1(x + -2)(x + 2) = 4 + -1x
((-2 * -2 + x * -2) + X(-2 + x)) + -1(x + -2)(x + 2) = 4 + -1x
((4 + -2x) + X(-2 + x)) + -1(x + -2)(x + 2) = 4 + -1x
(4 + -2x + (-2 * X + x * X)) + -1(x + -2)(x + 2) = 4 + -1x
(4 + -2x + (-2X + xX)) + -1(x + -2)(x + 2) = 4 + -1x

Reorder the terms:
(4 + -2X + -2x + xX) + -1(x + -2)(x + 2) = 4 + -1x
(4 + -2X + -2x + xX) + -1(x + -2)(x + 2) = 4 + -1x

Reorder the terms:
4 + -2X + -2x + xX + -1(-2 + x)(x + 2) = 4 + -1x

Reorder the terms:
4 + -2X + -2x + xX + -1(-2 + x)(2 + x) = 4 + -1x

Multiply (-2 + x) * (2 + x)
4 + -2X + -2x + xX + -1(-2(2 + x) + x(2 + x)) = 4 + -1x
4 + -2X + -2x + xX + -1((2 * -2 + x * -2) + x(2 + x)) = 4 + -1x
4 + -2X + -2x + xX + -1((-4 + -2x) + x(2 + x)) = 4 + -1x
4 + -2X + -2x + xX + -1(-4 + -2x + (2 * x + x * x)) = 4 + -1x
4 + -2X + -2x + xX + -1(-4 + -2x + (2x + x2)) = 4 + -1x

Combine like terms: -2x + 2x = 0
4 + -2X + -2x + xX + -1(-4 + 0 + x2) = 4 + -1x
4 + -2X + -2x + xX + -1(-4 + x2) = 4 + -1x
4 + -2X + -2x + xX + (-4 * -1 + x2 * -1) = 4 + -1x
4 + -2X + -2x + xX + (4 + -1x2) = 4 + -1x

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

Combine like terms: 4 + 4 = 8
8 + -2X + -2x + xX + -1x2 = 4 + -1x

Solving
8 + -2X + -2x + xX + -1x2 = 4 + -1x

Solving for variable 'X'.

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

Add '-8' to each side of the equation.
8 + -2X + -2x + xX + -8 + -1x2 = 4 + -8 + -1x

Reorder the terms:
8 + -8 + -2X + -2x + xX + -1x2 = 4 + -8 + -1x

Combine like terms: 8 + -8 = 0
0 + -2X + -2x + xX + -1x2 = 4 + -8 + -1x
-2X + -2x + xX + -1x2 = 4 + -8 + -1x

Combine like terms: 4 + -8 = -4
-2X + -2x + xX + -1x2 = -4 + -1x

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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