2x^2+8=x^2+2x-8

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Solution for 2x^2+8=x^2+2x-8 equation: 


Simplifying
2x2 + 8 = x2 + 2x + -8

Reorder the terms:
8 + 2x2 = x2 + 2x + -8

Reorder the terms:
8 + 2x2 = -8 + 2x + x2

Solving
8 + 2x2 = -8 + 2x + x2

Solving for variable 'x'.

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

Combine like terms: 8 + 8 = 16
16 + -2x + 2x2 + -1x2 = -8 + 2x + x2 + 8 + -2x + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
16 + -2x + 1x2 = -8 + 2x + x2 + 8 + -2x + -1x2

Reorder the terms:
16 + -2x + 1x2 = -8 + 8 + 2x + -2x + x2 + -1x2

Combine like terms: -8 + 8 = 0
16 + -2x + 1x2 = 0 + 2x + -2x + x2 + -1x2
16 + -2x + 1x2 = 2x + -2x + x2 + -1x2

Combine like terms: 2x + -2x = 0
16 + -2x + 1x2 = 0 + x2 + -1x2
16 + -2x + 1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
16 + -2x + 1x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-16' to each side of the equation.
16 + -2x + -16 + x2 = 0 + -16

Reorder the terms:
16 + -16 + -2x + x2 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -2x + x2 = 0 + -16
-2x + x2 = 0 + -16

Combine like terms: 0 + -16 = -16
-2x + x2 = -16

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = -16 + 1

Reorder the terms:
1 + -2x + x2 = -16 + 1

Combine like terms: -16 + 1 = -15
1 + -2x + x2 = -15

Factor a perfect square on the left side:
(x + -1)(x + -1) = -15

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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