13=2(x^2)

Solution for 13=2(x^2) equation:

Simplifying
13 = 2(x2)

Solving
13 = 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.
13 + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
13 + -2x2 = 0

Add '-13' to each side of the equation.
13 + -13 + -2x2 = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -2x2 = 0 + -13
-2x2 = 0 + -13

Combine like terms: 0 + -13 = -13
-2x2 = -13

Divide each side by '-2'.
x2 = 6.5

Simplifying
x2 = 6.5

Take the square root of each side:
x = {-2.549509757, 2.549509757}