2x^2-13=27

Solution for 2x^2-13=27 equation:

Simplifying
2x2 + -13 = 27

Reorder the terms:
-13 + 2x2 = 27

Solving
-13 + 2x2 = 27

Solving for variable 'x'.

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

Add '13' to each side of the equation.
-13 + 13 + 2x2 = 27 + 13

Combine like terms: -13 + 13 = 0
0 + 2x2 = 27 + 13
2x2 = 27 + 13

Combine like terms: 27 + 13 = 40
2x2 = 40

Divide each side by '2'.
x2 = 20

Simplifying
x2 = 20

Take the square root of each side:
x = {-4.472135955, 4.472135955}