13a^2-8a-36=0

Solution for 13a^2-8a-36=0 equation:

Simplifying
13a2 + -8a + -36 = 0

Reorder the terms:
-36 + -8a + 13a2 = 0

Solving
-36 + -8a + 13a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-18 + -13a)(2 + -1a) = 0

Subproblem 1
Set the factor '(-18 + -13a)' equal to zero and attempt to solve:

Simplifying
-18 + -13a = 0

Solving
-18 + -13a = 0

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

Add '18' to each side of the equation.
-18 + 18 + -13a = 0 + 18

Combine like terms: -18 + 18 = 0
0 + -13a = 0 + 18
-13a = 0 + 18

Combine like terms: 0 + 18 = 18
-13a = 18

Divide each side by '-13'.
a = -1.384615385

Simplifying
a = -1.384615385
Subproblem 2
Set the factor '(2 + -1a)' equal to zero and attempt to solve:

Simplifying
2 + -1a = 0

Solving
2 + -1a = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1a = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1a = 0 + -2
-1a = 0 + -2

Combine like terms: 0 + -2 = -2
-1a = -2

Divide each side by '-1'.
a = 2

Simplifying
a = 2
Solution
a = {-1.384615385, 2}