a(5a+2)=0

Solution for a(5a+2)=0 equation:

Simplifying
a(5a + 2) = 0

Reorder the terms:
a(2 + 5a) = 0
(2 * a + 5a * a) = 0
(2a + 5a2) = 0

Solving
2a + 5a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(2 + 5a) = 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 '(2 + 5a)' equal to zero and attempt to solve:

Simplifying
2 + 5a = 0

Solving
2 + 5a = 0

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

Add '-2' to each side of the equation.
2 + -2 + 5a = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 5a = 0 + -2
5a = 0 + -2

Combine like terms: 0 + -2 = -2
5a = -2

Divide each side by '5'.
a = -0.4

Simplifying
a = -0.4
Solution
a = {0, -0.4}