5.0625=2x^2

Solution for 5.0625=2x^2 equation:

Simplifying
5.0625 = 2x2

Solving
5.0625 = 2x2

Solving for variable 'x'.

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

Add '-2x2' to each side of the equation.
5.0625 + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
5.0625 + -2x2 = 0

Add '-5.0625' to each side of the equation.
5.0625 + -5.0625 + -2x2 = 0 + -5.0625

Combine like terms: 5.0625 + -5.0625 = 0.0000
0.0000 + -2x2 = 0 + -5.0625
-2x2 = 0 + -5.0625

Combine like terms: 0 + -5.0625 = -5.0625
-2x2 = -5.0625

Divide each side by '-2'.
x2 = 2.53125

Simplifying
x2 = 2.53125

Take the square root of each side:
x = {-1.590990258, 1.590990258}