12a-5a(-4a)=

Solution for 12a-5a(-4a)= equation:

Simplifying
12a + -5a(-4a) = 0

Remove parenthesis around (-4a)
12a + -5a * -4a = 0

Reorder the terms for easier multiplication:
12a + -5 * -4a * a = 0

Multiply -5 * -4
12a + 20a * a = 0

Multiply a * a
12a + 20a2 = 0

Solving
12a + 20a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '4a'.
4a(3 + 5a) = 0

Ignore the factor 4.
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 + 5a)' equal to zero and attempt to solve:

Simplifying
3 + 5a = 0

Solving
3 + 5a = 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 + 5a = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 5a = 0 + -3
5a = 0 + -3

Combine like terms: 0 + -3 = -3
5a = -3

Divide each side by '5'.
a = -0.6

Simplifying
a = -0.6
Solution
a = {0, -0.6}