(X-2)(x+8)=20+x^2

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Solution for (X-2)(x+8)=20+x^2 equation: 


Simplifying
(X + -2)(x + 8) = 20 + x2

Reorder the terms:
(-2 + X)(x + 8) = 20 + x2

Reorder the terms:
(-2 + X)(8 + x) = 20 + x2

Multiply (-2 + X) * (8 + x)
(-2(8 + x) + X(8 + x)) = 20 + x2
((8 * -2 + x * -2) + X(8 + x)) = 20 + x2
((-16 + -2x) + X(8 + x)) = 20 + x2
(-16 + -2x + (8 * X + x * X)) = 20 + x2
(-16 + -2x + (8X + xX)) = 20 + x2

Reorder the terms:
(-16 + 8X + -2x + xX) = 20 + x2
(-16 + 8X + -2x + xX) = 20 + x2

Solving
-16 + 8X + -2x + xX = 20 + x2

Solving for variable 'X'.

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

Add '16' to each side of the equation.
-16 + 8X + -2x + 16 + xX = 20 + 16 + x2

Reorder the terms:
-16 + 16 + 8X + -2x + xX = 20 + 16 + x2

Combine like terms: -16 + 16 = 0
0 + 8X + -2x + xX = 20 + 16 + x2
8X + -2x + xX = 20 + 16 + x2

Combine like terms: 20 + 16 = 36
8X + -2x + xX = 36 + x2

Add '2x' to each side of the equation.
8X + -2x + 2x + xX = 36 + 2x + x2

Combine like terms: -2x + 2x = 0
8X + 0 + xX = 36 + 2x + x2
8X + xX = 36 + 2x + x2

Reorder the terms:
-36 + 8X + -2x + xX + -1x2 = 36 + 2x + x2 + -36 + -2x + -1x2

Reorder the terms:
-36 + 8X + -2x + xX + -1x2 = 36 + -36 + 2x + -2x + x2 + -1x2

Combine like terms: 36 + -36 = 0
-36 + 8X + -2x + xX + -1x2 = 0 + 2x + -2x + x2 + -1x2
-36 + 8X + -2x + xX + -1x2 = 2x + -2x + x2 + -1x2

Combine like terms: 2x + -2x = 0
-36 + 8X + -2x + xX + -1x2 = 0 + x2 + -1x2
-36 + 8X + -2x + xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-36 + 8X + -2x + xX + -1x2 = 0

The solution to this equation could not be determined.

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