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

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


Simplifying
(X + -2)(X + -2) + x2 = (X + 2)(X + 2)

Reorder the terms:
(-2 + X)(X + -2) + x2 = (X + 2)(X + 2)

Reorder the terms:
(-2 + X)(-2 + X) + x2 = (X + 2)(X + 2)

Multiply (-2 + X) * (-2 + X)
(-2(-2 + X) + X(-2 + X)) + x2 = (X + 2)(X + 2)
((-2 * -2 + X * -2) + X(-2 + X)) + x2 = (X + 2)(X + 2)
((4 + -2X) + X(-2 + X)) + x2 = (X + 2)(X + 2)
(4 + -2X + (-2 * X + X * X)) + x2 = (X + 2)(X + 2)
(4 + -2X + (-2X + X2)) + x2 = (X + 2)(X + 2)

Combine like terms: -2X + -2X = -4X
(4 + -4X + X2) + x2 = (X + 2)(X + 2)

Reorder the terms:
4 + -4X + X2 + x2 = (2 + X)(X + 2)

Reorder the terms:
4 + -4X + X2 + x2 = (2 + X)(2 + X)

Multiply (2 + X) * (2 + X)
4 + -4X + X2 + x2 = (2(2 + X) + X(2 + X))
4 + -4X + X2 + x2 = ((2 * 2 + X * 2) + X(2 + X))
4 + -4X + X2 + x2 = ((4 + 2X) + X(2 + X))
4 + -4X + X2 + x2 = (4 + 2X + (2 * X + X * X))
4 + -4X + X2 + x2 = (4 + 2X + (2X + X2))

Combine like terms: 2X + 2X = 4X
4 + -4X + X2 + x2 = (4 + 4X + X2)

Add '-4' to each side of the equation.
4 + -4X + X2 + -4 + x2 = 4 + 4X + -4 + X2

Reorder the terms:
4 + -4 + -4X + X2 + x2 = 4 + 4X + -4 + X2

Combine like terms: 4 + -4 = 0
0 + -4X + X2 + x2 = 4 + 4X + -4 + X2
-4X + X2 + x2 = 4 + 4X + -4 + X2

Reorder the terms:
-4X + X2 + x2 = 4 + -4 + 4X + X2

Combine like terms: 4 + -4 = 0
-4X + X2 + x2 = 0 + 4X + X2
-4X + X2 + x2 = 4X + X2

Add '-1X2' to each side of the equation.
-4X + X2 + -1X2 + x2 = 4X + X2 + -1X2

Combine like terms: X2 + -1X2 = 0
-4X + 0 + x2 = 4X + X2 + -1X2
-4X + x2 = 4X + X2 + -1X2

Combine like terms: X2 + -1X2 = 0
-4X + x2 = 4X + 0
-4X + x2 = 4X

Solving
-4X + x2 = 4X

Solving for variable 'X'.

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

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

Combine like terms: -4X + -4X = -8X
-8X + x2 = 4X + -4X

Combine like terms: 4X + -4X = 0
-8X + x2 = 0

Add '-1x2' to each side of the equation.
-8X + x2 + -1x2 = 0 + -1x2

Combine like terms: x2 + -1x2 = 0
-8X + 0 = 0 + -1x2
-8X = 0 + -1x2
Remove the zero:
-8X = -1x2

Divide each side by '-8'.
X = 0.125x2

Simplifying
X = 0.125x2

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