-10a^2+32a+32=0

Solution for -10a^2+32a+32=0 equation:

Simplifying
-10a2 + 32a + 32 = 0

Reorder the terms:
32 + 32a + -10a2 = 0

Solving
32 + 32a + -10a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2'.
2(16 + 16a + -5a2) = 0

Factor a trinomial.
2((4 + -1a)(4 + 5a)) = 0

Ignore the factor 2.
Subproblem 1
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
Subproblem 2
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
Solution
a = {4, -0.8}