6a^2+6=300

Solution for 6a^2+6=300 equation:

Simplifying
6a2 + 6 = 300

Reorder the terms:
6 + 6a2 = 300

Solving
6 + 6a2 = 300

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 + 6a2 = 300 + -6

Combine like terms: 6 + -6 = 0
0 + 6a2 = 300 + -6
6a2 = 300 + -6

Combine like terms: 300 + -6 = 294
6a2 = 294

Divide each side by '6'.
a2 = 49

Simplifying
a2 = 49

Take the square root of each side:
a = {-7, 7}