-140a^2-8a+96=0

Solution for -140a^2-8a+96=0 equation:

Simplifying
-140a2 + -8a + 96 = 0

Reorder the terms:
96 + -8a + -140a2 = 0

Solving
96 + -8a + -140a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '4'.
4(24 + -2a + -35a2) = 0

Factor a trinomial.
4((4 + -5a)(6 + 7a)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(4 + -5a)' equal to zero and attempt to solve:

Simplifying
4 + -5a = 0

Solving
4 + -5a = 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 + -5a = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5a = 0 + -4
-5a = 0 + -4

Combine like terms: 0 + -4 = -4
-5a = -4

Divide each side by '-5'.
a = 0.8

Simplifying
a = 0.8
Subproblem 2
Set the factor '(6 + 7a)' equal to zero and attempt to solve:

Simplifying
6 + 7a = 0

Solving
6 + 7a = 0

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

Add '-6' to each side of the equation.
6 + -6 + 7a = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 7a = 0 + -6
7a = 0 + -6

Combine like terms: 0 + -6 = -6
7a = -6

Divide each side by '7'.
a = -0.8571428571

Simplifying
a = -0.8571428571
Solution
a = {0.8, -0.8571428571}