5.12=2x^2

Solution for 5.12=2x^2 equation:

Simplifying
5.12 = 2x2

Solving
5.12 = 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.
5.12 + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
5.12 + -2x2 = 0

Add '-5.12' to each side of the equation.
5.12 + -5.12 + -2x2 = 0 + -5.12

Combine like terms: 5.12 + -5.12 = 0.00
0.00 + -2x2 = 0 + -5.12
-2x2 = 0 + -5.12

Combine like terms: 0 + -5.12 = -5.12
-2x2 = -5.12

Divide each side by '-2'.
x2 = 2.56

Simplifying
x2 = 2.56

Take the square root of each side:
x = {-1.6, 1.6}