6a^2-19+6=0

Solution for 6a^2-19+6=0 equation:

Simplifying
6a2 + -19 + 6 = 0

Reorder the terms:
-19 + 6 + 6a2 = 0

Combine like terms: -19 + 6 = -13
-13 + 6a2 = 0

Solving
-13 + 6a2 = 0

Solving for variable 'a'.

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

Add '13' to each side of the equation.
-13 + 13 + 6a2 = 0 + 13

Combine like terms: -13 + 13 = 0
0 + 6a2 = 0 + 13
6a2 = 0 + 13

Combine like terms: 0 + 13 = 13
6a2 = 13

Divide each side by '6'.
a2 = 2.166666667

Simplifying
a2 = 2.166666667

Take the square root of each side:
a = {-1.471960145, 1.471960145}