17a^2-60a-32=0

Solution for 17a^2-60a-32=0 equation:

Simplifying
17a2 + -60a + -32 = 0

Reorder the terms:
-32 + -60a + 17a2 = 0

Solving
-32 + -60a + 17a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-8 + -17a)(4 + -1a) = 0

Subproblem 1
Set the factor '(-8 + -17a)' equal to zero and attempt to solve:

Simplifying
-8 + -17a = 0

Solving
-8 + -17a = 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 + -17a = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -17a = 0 + 8
-17a = 0 + 8

Combine like terms: 0 + 8 = 8
-17a = 8

Divide each side by '-17'.
a = -0.4705882353

Simplifying
a = -0.4705882353
Subproblem 2
Set the factor '(4 + -1a)' equal to zero and attempt to solve:

Simplifying
4 + -1a = 0

Solving
4 + -1a = 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 + -1a = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1a = 0 + -4
-1a = 0 + -4

Combine like terms: 0 + -4 = -4
-1a = -4

Divide each side by '-1'.
a = 4

Simplifying
a = 4
Solution
a = {-0.4705882353, 4}