(6a)(3b+9c-5d)=

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Solution for (6a)(3b+9c-5d)= equation: 


Simplifying
(6a)(3b + 9c + -5d) = 0

Remove parenthesis around (6a)
6a(3b + 9c + -5d) = 0
(3b * 6a + 9c * 6a + -5d * 6a) = 0
(18ab + 54ac + -30ad) = 0

Solving
18ab + 54ac + -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), '6a'.
6a(3b + 9c + -5d) = 0

Ignore the factor 6.

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 '(3b + 9c + -5d)' equal to zero and attempt to solve:

Simplifying
3b + 9c + -5d = 0

Solving
3b + 9c + -5d = 0

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

Add '-3b' to each side of the equation.
3b + 9c + -3b + -5d = 0 + -3b

Reorder the terms:
3b + -3b + 9c + -5d = 0 + -3b

Combine like terms: 3b + -3b = 0
0 + 9c + -5d = 0 + -3b
9c + -5d = 0 + -3b
Remove the zero:
9c + -5d = -3b

Add '-9c' to each side of the equation.
9c + -9c + -5d = -3b + -9c

Combine like terms: 9c + -9c = 0
0 + -5d = -3b + -9c
-5d = -3b + -9c

Add '5d' to each side of the equation.
-5d + 5d = -3b + -9c + 5d

Combine like terms: -5d + 5d = 0
0 = -3b + -9c + 5d

Simplifying
0 = -3b + -9c + 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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