2x^2-11-37=0

Solution for 2x^2-11-37=0 equation:

Simplifying
2x2 + -11 + -37 = 0

Reorder the terms:
-11 + -37 + 2x2 = 0

Combine like terms: -11 + -37 = -48
-48 + 2x2 = 0

Solving
-48 + 2x2 = 0

Solving for variable 'x'.

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

Add '48' to each side of the equation.
-48 + 48 + 2x2 = 0 + 48

Combine like terms: -48 + 48 = 0
0 + 2x2 = 0 + 48
2x2 = 0 + 48

Combine like terms: 0 + 48 = 48
2x2 = 48

Divide each side by '2'.
x2 = 24

Simplifying
x2 = 24

Take the square root of each side:
x = {-4.898979486, 4.898979486}