2x^2-36-1=0

Solution for 2x^2-36-1=0 equation:

Simplifying
2x2 + -36 + -1 = 0

Reorder the terms:
-36 + -1 + 2x2 = 0

Combine like terms: -36 + -1 = -37
-37 + 2x2 = 0

Solving
-37 + 2x2 = 0

Solving for variable 'x'.

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

Add '37' to each side of the equation.
-37 + 37 + 2x2 = 0 + 37

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

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

Divide each side by '2'.
x2 = 18.5

Simplifying
x2 = 18.5

Take the square root of each side:
x = {-4.301162634, 4.301162634}