2x^2-13=37

Solution for 2x^2-13=37 equation:

Simplifying
2x2 + -13 = 37

Reorder the terms:
-13 + 2x2 = 37

Solving
-13 + 2x2 = 37

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 = 37 + 13

Combine like terms: -13 + 13 = 0
0 + 2x2 = 37 + 13
2x2 = 37 + 13

Combine like terms: 37 + 13 = 50
2x2 = 50

Divide each side by '2'.
x2 = 25

Simplifying
x2 = 25

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