4=2x^2

Solution for 4=2x^2 equation:

Simplifying
4 = 2x2

Solving
4 = 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.
4 + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
4 + -2x2 = 0

Add '-4' to each side of the equation.
4 + -4 + -2x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -2x2 = 0 + -4
-2x2 = 0 + -4

Combine like terms: 0 + -4 = -4
-2x2 = -4

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

Simplifying
x2 = 2

Take the square root of each side:
x = {-1.414213562, 1.414213562}