6a^2-5a-39=

Solution for 6a^2-5a-39= equation:

Simplifying
6a2 + -5a + -39 = 0

Reorder the terms:
-39 + -5a + 6a2 = 0

Solving
-39 + -5a + 6a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-13 + -6a)(3 + -1a) = 0

Subproblem 1
Set the factor '(-13 + -6a)' equal to zero and attempt to solve:

Simplifying
-13 + -6a = 0

Solving
-13 + -6a = 0

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

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

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

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

Divide each side by '-6'.
a = -2.166666667

Simplifying
a = -2.166666667
Subproblem 2
Set the factor '(3 + -1a)' equal to zero and attempt to solve:

Simplifying
3 + -1a = 0

Solving
3 + -1a = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1a = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1a = 0 + -3
-1a = 0 + -3

Combine like terms: 0 + -3 = -3
-1a = -3

Divide each side by '-1'.
a = 3

Simplifying
a = 3
Solution
a = {-2.166666667, 3}