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

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


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

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

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

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

Multiply (2 + x) * (2 + x)
-2x + x2 = (2(2 + x) + x(2 + x))
-2x + x2 = ((2 * 2 + x * 2) + x(2 + x))
-2x + x2 = ((4 + 2x) + x(2 + x))
-2x + x2 = (4 + 2x + (2 * x + x * x))
-2x + x2 = (4 + 2x + (2x + x2))

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

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

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

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

Solving
-2x = 4 + 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.
-2x + -4x = 4 + 4x + -4x

Combine like terms: -2x + -4x = -6x
-6x = 4 + 4x + -4x

Combine like terms: 4x + -4x = 0
-6x = 4 + 0
-6x = 4

Divide each side by '-6'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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