13a^2-100a-32=0

Solution for 13a^2-100a-32=0 equation:

Simplifying
13a2 + -100a + -32 = 0

Reorder the terms:
-32 + -100a + 13a2 = 0

Solving
-32 + -100a + 13a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-4 + -13a)(8 + -1a) = 0

Subproblem 1
Set the factor '(-4 + -13a)' equal to zero and attempt to solve:

Simplifying
-4 + -13a = 0

Solving
-4 + -13a = 0

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

Add '4' to each side of the equation.
-4 + 4 + -13a = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -13a = 0 + 4
-13a = 0 + 4

Combine like terms: 0 + 4 = 4
-13a = 4

Divide each side by '-13'.
a = -0.3076923077

Simplifying
a = -0.3076923077
Subproblem 2
Set the factor '(8 + -1a)' equal to zero and attempt to solve:

Simplifying
8 + -1a = 0

Solving
8 + -1a = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1a = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1a = 0 + -8
-1a = 0 + -8

Combine like terms: 0 + -8 = -8
-1a = -8

Divide each side by '-1'.
a = 8

Simplifying
a = 8
Solution
a = {-0.3076923077, 8}