-2(a+3)a=0

Solution for -2(a+3)a=0 equation:

Simplifying
-2(a + 3) * a = 0

Reorder the terms:
-2(3 + a) * a = 0

Reorder the terms for easier multiplication:
-2a(3 + a) = 0
(3 * -2a + a * -2a) = 0
(-6a + -2a2) = 0

Solving
-6a + -2a2 = 0

Solving for variable 'a'.

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

Ignore the factor -2.
Subproblem 1
Set the factor 'a' equal to zero and attempt to solve:

Simplifying
a = 0

Solving
a = 0

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

Simplifying
a = 0
Subproblem 2
Set the factor '(3 + a)' equal to zero and attempt to solve:

Simplifying
3 + a = 0

Solving
3 + a = 0

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

Add '-3' to each side of the equation.
3 + -3 + a = 0 + -3

Combine like terms: 3 + -3 = 0
0 + a = 0 + -3
a = 0 + -3

Combine like terms: 0 + -3 = -3
a = -3

Simplifying
a = -3
Solution
a = {0, -3}