5ab+3ac=0

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Solution for 5ab+3ac=0 equation: 


Simplifying
5ab + 3ac = 0

Solving
5ab + 3ac = 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), 'a'.
a(5b + 3c) = 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 '(5b + 3c)' equal to zero and attempt to solve:

Simplifying
5b + 3c = 0

Solving
5b + 3c = 0

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

Add '-5b' to each side of the equation.
5b + -5b + 3c = 0 + -5b

Combine like terms: 5b + -5b = 0
0 + 3c = 0 + -5b
3c = 0 + -5b
Remove the zero:
3c = -5b

Add '-3c' to each side of the equation.
3c + -3c = -5b + -3c

Combine like terms: 3c + -3c = 0
0 = -5b + -3c

Simplifying
0 = -5b + -3c

The solution to this equation could not be determined.

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

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