2x^2-5=64

Solution for 2x^2-5=64 equation:

Simplifying
2x2 + -5 = 64

Reorder the terms:
-5 + 2x2 = 64

Solving
-5 + 2x2 = 64

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + 2x2 = 64 + 5

Combine like terms: -5 + 5 = 0
0 + 2x2 = 64 + 5
2x2 = 64 + 5

Combine like terms: 64 + 5 = 69
2x2 = 69

Divide each side by '2'.
x2 = 34.5

Simplifying
x2 = 34.5

Take the square root of each side:
x = {-5.873670062, 5.873670062}