x^2-2=x^2+4x+8

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Solution for x^2-2=x^2+4x+8 equation:


Simplifying
x2 + -2 = x2 + 4x + 8

Reorder the terms:
-2 + x2 = x2 + 4x + 8

Reorder the terms:
-2 + x2 = 8 + 4x + x2

Add '-1x2' to each side of the equation.
-2 + x2 + -1x2 = 8 + 4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-2 + 0 = 8 + 4x + x2 + -1x2
-2 = 8 + 4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-2 = 8 + 4x + 0
-2 = 8 + 4x

Solving
-2 = 8 + 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.
-2 + -4x = 8 + 4x + -4x

Combine like terms: 4x + -4x = 0
-2 + -4x = 8 + 0
-2 + -4x = 8

Add '2' to each side of the equation.
-2 + 2 + -4x = 8 + 2

Combine like terms: -2 + 2 = 0
0 + -4x = 8 + 2
-4x = 8 + 2

Combine like terms: 8 + 2 = 10
-4x = 10

Divide each side by '-4'.
x = -2.5

Simplifying
x = -2.5

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