2x^2-36=64

Solution for 2x^2-36=64 equation:

Simplifying
2x2 + -36 = 64

Reorder the terms:
-36 + 2x2 = 64

Solving
-36 + 2x2 = 64

Solving for variable 'x'.

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

Add '36' to each side of the equation.
-36 + 36 + 2x2 = 64 + 36

Combine like terms: -36 + 36 = 0
0 + 2x2 = 64 + 36
2x2 = 64 + 36

Combine like terms: 64 + 36 = 100
2x2 = 100

Divide each side by '2'.
x2 = 50

Simplifying
x2 = 50

Take the square root of each side:
x = {-7.071067812, 7.071067812}