by-9b^3=4by-15b^3

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Solution for by-9b^3=4by-15b^3 equation: 


Simplifying
by + -9b3 = 4by + -15b3

Solving
by + -9b3 = 4by + -15b3

Solving for variable 'b'.

Reorder the terms:
by + -4by + -9b3 + 15b3 = 4by + -15b3 + -4by + 15b3

Combine like terms: by + -4by = -3by
-3by + -9b3 + 15b3 = 4by + -15b3 + -4by + 15b3

Combine like terms: -9b3 + 15b3 = 6b3
-3by + 6b3 = 4by + -15b3 + -4by + 15b3

Reorder the terms:
-3by + 6b3 = 4by + -4by + -15b3 + 15b3

Combine like terms: 4by + -4by = 0
-3by + 6b3 = 0 + -15b3 + 15b3
-3by + 6b3 = -15b3 + 15b3

Combine like terms: -15b3 + 15b3 = 0
-3by + 6b3 = 0

Factor out the Greatest Common Factor (GCF), '3b'.
3b(-1y + 2b2) = 0

Ignore the factor 3.

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 '(-1y + 2b2)' equal to zero and attempt to solve:

Simplifying
-1y + 2b2 = 0

Reorder the terms:
2b2 + -1y = 0

Solving
2b2 + -1y = 0

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

Add 'y' to each side of the equation.
2b2 + -1y + y = 0 + y

Combine like terms: -1y + y = 0
2b2 + 0 = 0 + y
2b2 = 0 + y
Remove the zero:
2b2 = y

Divide each side by '2'.
b2 = 0.5y

Simplifying
b2 = 0.5y

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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