20a^2+44a+24=0

Solution for 20a^2+44a+24=0 equation:

Simplifying
20a2 + 44a + 24 = 0

Reorder the terms:
24 + 44a + 20a2 = 0

Solving
24 + 44a + 20a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '4'.
4(6 + 11a + 5a2) = 0

Factor a trinomial.
4((6 + 5a)(1 + a)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(6 + 5a)' equal to zero and attempt to solve:

Simplifying
6 + 5a = 0

Solving
6 + 5a = 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 + 5a = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 5a = 0 + -6
5a = 0 + -6

Combine like terms: 0 + -6 = -6
5a = -6

Divide each side by '5'.
a = -1.2

Simplifying
a = -1.2
Subproblem 2
Set the factor '(1 + a)' equal to zero and attempt to solve:

Simplifying
1 + a = 0

Solving
1 + a = 0

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

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

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

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

Simplifying
a = -1
Solution
a = {-1.2, -1}