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

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


Simplifying
X2 + -1(x + -2)(x + -2) = 20

Reorder the terms:
X2 + -1(-2 + x)(x + -2) = 20

Reorder the terms:
X2 + -1(-2 + x)(-2 + x) = 20

Multiply (-2 + x) * (-2 + x)
X2 + -1(-2(-2 + x) + x(-2 + x)) = 20
X2 + -1((-2 * -2 + x * -2) + x(-2 + x)) = 20
X2 + -1((4 + -2x) + x(-2 + x)) = 20
X2 + -1(4 + -2x + (-2 * x + x * x)) = 20
X2 + -1(4 + -2x + (-2x + x2)) = 20

Combine like terms: -2x + -2x = -4x
X2 + -1(4 + -4x + x2) = 20
X2 + (4 * -1 + -4x * -1 + x2 * -1) = 20
X2 + (-4 + 4x + -1x2) = 20

Reorder the terms:
-4 + X2 + 4x + -1x2 = 20

Solving
-4 + X2 + 4x + -1x2 = 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 + 4x + 4 + -1x2 = 20 + 4

Reorder the terms:
-4 + 4 + X2 + 4x + -1x2 = 20 + 4

Combine like terms: -4 + 4 = 0
0 + X2 + 4x + -1x2 = 20 + 4
X2 + 4x + -1x2 = 20 + 4

Combine like terms: 20 + 4 = 24
X2 + 4x + -1x2 = 24

Add '-4x' to each side of the equation.
X2 + 4x + -4x + -1x2 = 24 + -4x

Combine like terms: 4x + -4x = 0
X2 + 0 + -1x2 = 24 + -4x
X2 + -1x2 = 24 + -4x

Add 'x2' to each side of the equation.
X2 + -1x2 + x2 = 24 + -4x + x2

Combine like terms: -1x2 + x2 = 0
X2 + 0 = 24 + -4x + x2
X2 = 24 + -4x + x2

Simplifying
X2 = 24 + -4x + x2

Reorder the terms:
-24 + X2 + 4x + -1x2 = 24 + -4x + x2 + -24 + 4x + -1x2

Reorder the terms:
-24 + X2 + 4x + -1x2 = 24 + -24 + -4x + 4x + x2 + -1x2

Combine like terms: 24 + -24 = 0
-24 + X2 + 4x + -1x2 = 0 + -4x + 4x + x2 + -1x2
-24 + X2 + 4x + -1x2 = -4x + 4x + x2 + -1x2

Combine like terms: -4x + 4x = 0
-24 + X2 + 4x + -1x2 = 0 + x2 + -1x2
-24 + X2 + 4x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-24 + X2 + 4x + -1x2 = 0

The solution to this equation could not be determined.

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