a(10+3a)=

Solution for a(10+3a)= equation:

Simplifying
a(10 + 3a) = 0
(10 * a + 3a * a) = 0
(10a + 3a2) = 0

Solving
10a + 3a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(10 + 3a) = 0

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 '(10 + 3a)' equal to zero and attempt to solve:

Simplifying
10 + 3a = 0

Solving
10 + 3a = 0

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

Add '-10' to each side of the equation.
10 + -10 + 3a = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 3a = 0 + -10
3a = 0 + -10

Combine like terms: 0 + -10 = -10
3a = -10

Divide each side by '3'.
a = -3.333333333

Simplifying
a = -3.333333333
Solution
a = {0, -3.333333333}