2x^2+2=x^2+27

Solution for 2x^2+2=x^2+27 equation:

Simplifying
2x2 + 2 = x2 + 27

Reorder the terms:
2 + 2x2 = x2 + 27

Reorder the terms:
2 + 2x2 = 27 + x2

Solving
2 + 2x2 = 27 + 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.
2 + 2x2 + -1x2 = 27 + x2 + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
2 + 1x2 = 27 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
2 + 1x2 = 27 + 0
2 + 1x2 = 27

Add '-2' to each side of the equation.
2 + -2 + 1x2 = 27 + -2

Combine like terms: 2 + -2 = 0
0 + 1x2 = 27 + -2
1x2 = 27 + -2

Combine like terms: 27 + -2 = 25
1x2 = 25

Divide each side by '1'.
x2 = 25

Simplifying
x2 = 25

Take the square root of each side:
x = {-5, 5}