27=a^2+13

Solution for 27=a^2+13 equation:

Simplifying
27 = a2 + 13

Reorder the terms:
27 = 13 + a2

Solving
27 = 13 + a2

Solving for variable 'a'.

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

Add '-1a2' to each side of the equation.
27 + -1a2 = 13 + a2 + -1a2

Combine like terms: a2 + -1a2 = 0
27 + -1a2 = 13 + 0
27 + -1a2 = 13

Add '-27' to each side of the equation.
27 + -27 + -1a2 = 13 + -27

Combine like terms: 27 + -27 = 0
0 + -1a2 = 13 + -27
-1a2 = 13 + -27

Combine like terms: 13 + -27 = -14
-1a2 = -14

Divide each side by '-1'.
a2 = 14

Simplifying
a2 = 14

Take the square root of each side:
a = {-3.741657387, 3.741657387}