3ab-15ac+30ad=

Solution for 3ab-15ac+30ad= equation:

Simplifying
3ab + -15ac + 30ad = 0

Solving
3ab + -15ac + 30ad = 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 + -5c + 10d) = 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 + -5c + 10d)' equal to zero and attempt to solve:

Simplifying
b + -5c + 10d = 0

Solving
b + -5c + 10d = 0

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

Add '-1b' to each side of the equation.
b + -5c + -1b + 10d = 0 + -1b

Reorder the terms:
b + -1b + -5c + 10d = 0 + -1b

Combine like terms: b + -1b = 0
0 + -5c + 10d = 0 + -1b
-5c + 10d = 0 + -1b
Remove the zero:
-5c + 10d = -1b

Add '5c' to each side of the equation.
-5c + 5c + 10d = -1b + 5c

Combine like terms: -5c + 5c = 0
0 + 10d = -1b + 5c
10d = -1b + 5c

Add '-10d' to each side of the equation.
10d + -10d = -1b + 5c + -10d

Combine like terms: 10d + -10d = 0
0 = -1b + 5c + -10d

Simplifying
0 = -1b + 5c + -10d

The solution to this equation could not be determined.

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