2x^2-5=x^2+31

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Solution for 2x^2-5=x^2+31 equation: 


Simplifying
2x2 + -5 = x2 + 31

Reorder the terms:
-5 + 2x2 = x2 + 31

Reorder the terms:
-5 + 2x2 = 31 + x2

Solving
-5 + 2x2 = 31 + 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.
-5 + 2x2 + -1x2 = 31 + x2 + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
-5 + 1x2 = 31 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-5 + 1x2 = 31 + 0
-5 + 1x2 = 31

Add '5' to each side of the equation.
-5 + 5 + 1x2 = 31 + 5

Combine like terms: -5 + 5 = 0
0 + 1x2 = 31 + 5
1x2 = 31 + 5

Combine like terms: 31 + 5 = 36
1x2 = 36

Divide each side by '1'.
x2 = 36

Simplifying
x2 = 36

Take the square root of each side:
x = {-6, 6}

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