12a(a+30)=

Solution for 12a(a+30)= equation:

Simplifying
12a(a + 30) = 0

Reorder the terms:
12a(30 + a) = 0
(30 * 12a + a * 12a) = 0
(360a + 12a2) = 0

Solving
360a + 12a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '12a'.
12a(30 + a) = 0

Ignore the factor 12.
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 '(30 + a)' equal to zero and attempt to solve:

Simplifying
30 + a = 0

Solving
30 + a = 0

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

Add '-30' to each side of the equation.
30 + -30 + a = 0 + -30

Combine like terms: 30 + -30 = 0
0 + a = 0 + -30
a = 0 + -30

Combine like terms: 0 + -30 = -30
a = -30

Simplifying
a = -30
Solution
a = {0, -30}