3ab-9ac+15ad=0

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Solution for 3ab-9ac+15ad=0 equation: 


Simplifying
3ab + -9ac + 15ad = 0

Solving
3ab + -9ac + 15ad = 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), '3a'.
3a(b + -3c + 5d) = 0

Ignore the factor 3.

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 '(b + -3c + 5d)' equal to zero and attempt to solve:

Simplifying
b + -3c + 5d = 0

Solving
b + -3c + 5d = 0

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

Add '-1b' to each side of the equation.
b + -3c + -1b + 5d = 0 + -1b

Reorder the terms:
b + -1b + -3c + 5d = 0 + -1b

Combine like terms: b + -1b = 0
0 + -3c + 5d = 0 + -1b
-3c + 5d = 0 + -1b
Remove the zero:
-3c + 5d = -1b

Add '3c' to each side of the equation.
-3c + 3c + 5d = -1b + 3c

Combine like terms: -3c + 3c = 0
0 + 5d = -1b + 3c
5d = -1b + 3c

Add '-5d' to each side of the equation.
5d + -5d = -1b + 3c + -5d

Combine like terms: 5d + -5d = 0
0 = -1b + 3c + -5d

Simplifying
0 = -1b + 3c + -5d

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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