2x^2-8=55-x^2

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Solution for 2x^2-8=55-x^2 equation: 


Simplifying
2x2 + -8 = 55 + -1x2

Reorder the terms:
-8 + 2x2 = 55 + -1x2

Solving
-8 + 2x2 = 55 + -1x2

Solving for variable 'x'.

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

Add 'x2' to each side of the equation.
-8 + 2x2 + x2 = 55 + -1x2 + x2

Combine like terms: 2x2 + x2 = 3x2
-8 + 3x2 = 55 + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-8 + 3x2 = 55 + 0
-8 + 3x2 = 55

Add '8' to each side of the equation.
-8 + 8 + 3x2 = 55 + 8

Combine like terms: -8 + 8 = 0
0 + 3x2 = 55 + 8
3x2 = 55 + 8

Combine like terms: 55 + 8 = 63
3x2 = 63

Divide each side by '3'.
x2 = 21

Simplifying
x2 = 21

Take the square root of each side:
x = {-4.582575695, 4.582575695}

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