5a(3b+20)=

Solution for 5a(3b+20)= equation:

Simplifying
5a(3b + 20) = 0

Reorder the terms:
5a(20 + 3b) = 0
(20 * 5a + 3b * 5a) = 0
(100a + 15ab) = 0

Solving
100a + 15ab = 0

Solving for variable 'a'.

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

Factor out the Greatest Common Factor (GCF), '5a'.
5a(20 + 3b) = 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 '(20 + 3b)' equal to zero and attempt to solve:

Simplifying
20 + 3b = 0

Solving
20 + 3b = 0

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

Add '-20' to each side of the equation.
20 + -20 + 3b = 0 + -20

Combine like terms: 20 + -20 = 0
0 + 3b = 0 + -20
3b = 0 + -20

Combine like terms: 0 + -20 = -20
3b = -20

Add '-3b' to each side of the equation.
3b + -3b = -20 + -3b

Combine like terms: 3b + -3b = 0
0 = -20 + -3b

Simplifying
0 = -20 + -3b

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
a = {0}