-6-5a^2=-106

Solution for -6-5a^2=-106 equation:

Simplifying
-6 + -5a2 = -106

Solving
-6 + -5a2 = -106

Solving for variable 'a'.

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

Add '6' to each side of the equation.
-6 + 6 + -5a2 = -106 + 6

Combine like terms: -6 + 6 = 0
0 + -5a2 = -106 + 6
-5a2 = -106 + 6

Combine like terms: -106 + 6 = -100
-5a2 = -100

Divide each side by '-5'.
a2 = 20

Simplifying
a2 = 20

Take the square root of each side:
a = {-4.472135955, 4.472135955}