8a+a*3a=

Solution for 8a+a*3a= equation:

Simplifying
8a + a * 3a = 0

Reorder the terms for easier multiplication:
8a + 3a * a = 0

Multiply a * a
8a + 3a2 = 0

Solving
8a + 3a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(8 + 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 '(8 + 3a)' equal to zero and attempt to solve:

Simplifying
8 + 3a = 0

Solving
8 + 3a = 0

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

Add '-8' to each side of the equation.
8 + -8 + 3a = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 3a = 0 + -8
3a = 0 + -8

Combine like terms: 0 + -8 = -8
3a = -8

Divide each side by '3'.
a = -2.666666667

Simplifying
a = -2.666666667
Solution
a = {0, -2.666666667}