3by+4b+6by=

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Solution for 3by+4b+6by= equation: 


Simplifying
3by + 4b + 6by = 0

Reorder the terms:
4b + 3by + 6by = 0

Combine like terms: 3by + 6by = 9by
4b + 9by = 0

Solving
4b + 9by = 0

Solving for variable 'b'.

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

Factor out the Greatest Common Factor (GCF), 'b'.
b(4 + 9y) = 0


Subproblem 1
Set the factor 'b' equal to zero and attempt to solve:

Simplifying
b = 0

Solving
b = 0

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

Simplifying
b = 0

Subproblem 2
Set the factor '(4 + 9y)' equal to zero and attempt to solve:

Simplifying
4 + 9y = 0

Solving
4 + 9y = 0

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

Add '-4' to each side of the equation.
4 + -4 + 9y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 9y = 0 + -4
9y = 0 + -4

Combine like terms: 0 + -4 = -4
9y = -4

Add '-9y' to each side of the equation.
9y + -9y = -4 + -9y

Combine like terms: 9y + -9y = 0
0 = -4 + -9y

Simplifying
0 = -4 + -9y

The solution to this equation could not be determined.

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

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