5(a+10)a=

Solution for 5(a+10)a= equation:

Simplifying
5(a + 10) * a = 0

Reorder the terms:
5(10 + a) * a = 0

Reorder the terms for easier multiplication:
5a(10 + a) = 0
(10 * 5a + a * 5a) = 0
(50a + 5a2) = 0

Solving
50a + 5a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '5a'.
5a(10 + a) = 0

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

Simplifying
10 + a = 0

Solving
10 + a = 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 + a = 0 + -10

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

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

Simplifying
a = -10
Solution
a = {0, -10}