8-2x^2=x^2+5

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Solution for 8-2x^2=x^2+5 equation: 


Simplifying
8 + -2x2 = x2 + 5

Reorder the terms:
8 + -2x2 = 5 + x2

Solving
8 + -2x2 = 5 + x2

Solving for variable 'x'.

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

Add '-1x2' to each side of the equation.
8 + -2x2 + -1x2 = 5 + x2 + -1x2

Combine like terms: -2x2 + -1x2 = -3x2
8 + -3x2 = 5 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
8 + -3x2 = 5 + 0
8 + -3x2 = 5

Add '-8' to each side of the equation.
8 + -8 + -3x2 = 5 + -8

Combine like terms: 8 + -8 = 0
0 + -3x2 = 5 + -8
-3x2 = 5 + -8

Combine like terms: 5 + -8 = -3
-3x2 = -3

Divide each side by '-3'.
x2 = 1

Simplifying
x2 = 1

Take the square root of each side:
x = {-1, 1}

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