4a^2+6=106

Solution for 4a^2+6=106 equation:

Simplifying
4a2 + 6 = 106

Reorder the terms:
6 + 4a2 = 106

Solving
6 + 4a2 = 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 + 4a2 = 106 + -6

Combine like terms: 6 + -6 = 0
0 + 4a2 = 106 + -6
4a2 = 106 + -6

Combine like terms: 106 + -6 = 100
4a2 = 100

Divide each side by '4'.
a2 = 25

Simplifying
a2 = 25

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