X^2+(2x-2)(2x-2)=20

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Solution for X^2+(2x-2)(2x-2)=20 equation: 


Simplifying
X2 + (2x + -2)(2x + -2) = 20

Reorder the terms:
X2 + (-2 + 2x)(2x + -2) = 20

Reorder the terms:
X2 + (-2 + 2x)(-2 + 2x) = 20

Multiply (-2 + 2x) * (-2 + 2x)
X2 + (-2(-2 + 2x) + 2x * (-2 + 2x)) = 20
X2 + ((-2 * -2 + 2x * -2) + 2x * (-2 + 2x)) = 20
X2 + ((4 + -4x) + 2x * (-2 + 2x)) = 20
X2 + (4 + -4x + (-2 * 2x + 2x * 2x)) = 20
X2 + (4 + -4x + (-4x + 4x2)) = 20

Combine like terms: -4x + -4x = -8x
X2 + (4 + -8x + 4x2) = 20

Reorder the terms:
4 + X2 + -8x + 4x2 = 20

Solving
4 + X2 + -8x + 4x2 = 20

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 + X2 + -8x + -4 + 4x2 = 20 + -4

Reorder the terms:
4 + -4 + X2 + -8x + 4x2 = 20 + -4

Combine like terms: 4 + -4 = 0
0 + X2 + -8x + 4x2 = 20 + -4
X2 + -8x + 4x2 = 20 + -4

Combine like terms: 20 + -4 = 16
X2 + -8x + 4x2 = 16

Add '8x' to each side of the equation.
X2 + -8x + 8x + 4x2 = 16 + 8x

Combine like terms: -8x + 8x = 0
X2 + 0 + 4x2 = 16 + 8x
X2 + 4x2 = 16 + 8x

Add '-4x2' to each side of the equation.
X2 + 4x2 + -4x2 = 16 + 8x + -4x2

Combine like terms: 4x2 + -4x2 = 0
X2 + 0 = 16 + 8x + -4x2
X2 = 16 + 8x + -4x2

Simplifying
X2 = 16 + 8x + -4x2

Reorder the terms:
-16 + X2 + -8x + 4x2 = 16 + 8x + -4x2 + -16 + -8x + 4x2

Reorder the terms:
-16 + X2 + -8x + 4x2 = 16 + -16 + 8x + -8x + -4x2 + 4x2

Combine like terms: 16 + -16 = 0
-16 + X2 + -8x + 4x2 = 0 + 8x + -8x + -4x2 + 4x2
-16 + X2 + -8x + 4x2 = 8x + -8x + -4x2 + 4x2

Combine like terms: 8x + -8x = 0
-16 + X2 + -8x + 4x2 = 0 + -4x2 + 4x2
-16 + X2 + -8x + 4x2 = -4x2 + 4x2

Combine like terms: -4x2 + 4x2 = 0
-16 + X2 + -8x + 4x2 = 0

The solution to this equation could not be determined.

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