13=x^2-12

Solution for 13=x^2-12 equation:

Simplifying
13 = x2 + -12

Reorder the terms:
13 = -12 + x2

Solving
13 = -12 + x2

Solving for variable 'x'.

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

Add '-1x2' to each side of the equation.
13 + -1x2 = -12 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
13 + -1x2 = -12 + 0
13 + -1x2 = -12

Add '-13' to each side of the equation.
13 + -13 + -1x2 = -12 + -13

Combine like terms: 13 + -13 = 0
0 + -1x2 = -12 + -13
-1x2 = -12 + -13

Combine like terms: -12 + -13 = -25
-1x2 = -25

Divide each side by '-1'.
x2 = 25

Simplifying
x2 = 25

Take the square root of each side:
x = {-5, 5}