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

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


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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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