13=2x^2+5

Solution for 13=2x^2+5 equation:

Simplifying
13 = 2x2 + 5

Reorder the terms:
13 = 5 + 2x2

Solving
13 = 5 + 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 = 5 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
13 + -2x2 = 5 + 0
13 + -2x2 = 5

Add '-13' to each side of the equation.
13 + -13 + -2x2 = 5 + -13

Combine like terms: 13 + -13 = 0
0 + -2x2 = 5 + -13
-2x2 = 5 + -13

Combine like terms: 5 + -13 = -8
-2x2 = -8

Divide each side by '-2'.
x2 = 4

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}