6a^2-29a-5=0

Solution for 6a^2-29a-5=0 equation:

Simplifying
6a2 + -29a + -5 = 0

Reorder the terms:
-5 + -29a + 6a2 = 0

Solving
-5 + -29a + 6a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-1 + -6a)(5 + -1a) = 0

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

Simplifying
-1 + -6a = 0

Solving
-1 + -6a = 0

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

Add '1' to each side of the equation.
-1 + 1 + -6a = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -6a = 0 + 1
-6a = 0 + 1

Combine like terms: 0 + 1 = 1
-6a = 1

Divide each side by '-6'.
a = -0.1666666667

Simplifying
a = -0.1666666667
Subproblem 2
Set the factor '(5 + -1a)' equal to zero and attempt to solve:

Simplifying
5 + -1a = 0

Solving
5 + -1a = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1a = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1a = 0 + -5
-1a = 0 + -5

Combine like terms: 0 + -5 = -5
-1a = -5

Divide each side by '-1'.
a = 5

Simplifying
a = 5
Solution
a = {-0.1666666667, 5}