a(a+5)a=

Solution for a(a+5)a= equation:

Simplifying
a(a + 5) * a = 0

Reorder the terms:
a(5 + a) * a = 0

Reorder the terms for easier multiplication:
a * a(5 + a) = 0

Multiply a * a
a2(5 + a) = 0
(5 * a2 + a * a2) = 0
(5a2 + a3) = 0

Solving
5a2 + a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a2'.
a2(5 + a) = 0

Subproblem 1
Set the factor 'a2' equal to zero and attempt to solve:

Simplifying
a2 = 0

Solving
a2 = 0

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

Simplifying
a2 = 0

Take the square root of each side:
a = {0}
Subproblem 2
Set the factor '(5 + a)' equal to zero and attempt to solve:

Simplifying
5 + a = 0

Solving
5 + a = 0

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

Add '-5' to each side of the equation.
5 + -5 + a = 0 + -5

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

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

Simplifying
a = -5
Solution
a = {0, -5}