3A^2+6A-24=

Solution for 3A^2+6A-24= equation:

Simplifying
3A2 + 6A + -24 = 0

Reorder the terms:
-24 + 6A + 3A2 = 0

Solving
-24 + 6A + 3A2 = 0

Solving for variable 'A'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-8 + 2A + A2) = 0

Factor a trinomial.
3((-4 + -1A)(2 + -1A)) = 0

Ignore the factor 3.
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 '(2 + -1A)' equal to zero and attempt to solve:

Simplifying
2 + -1A = 0

Solving
2 + -1A = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1A = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1A = 0 + -2
-1A = 0 + -2

Combine like terms: 0 + -2 = -2
-1A = -2

Divide each side by '-1'.
A = 2

Simplifying
A = 2
Solution
A = {-4, 2}