20b^3y+15b^4y^6=5b^3y

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Solution for 20b^3y+15b^4y^6=5b^3y equation:


Simplifying
20b3y + 15b4y6 = 5b3y

Solving
20b3y + 15b4y6 = 5b3y

Solving for variable 'b'.

Reorder the terms:
20b3y + -5b3y + 15b4y6 = 5b3y + -5b3y

Combine like terms: 20b3y + -5b3y = 15b3y
15b3y + 15b4y6 = 5b3y + -5b3y

Combine like terms: 5b3y + -5b3y = 0
15b3y + 15b4y6 = 0

Factor out the Greatest Common Factor (GCF), '15b3y'.
15b3y(1 + by5) = 0

Ignore the factor 15.

Subproblem 1

Set the factor 'b3y' equal to zero and attempt to solve: Simplifying b3y = 0 Solving b3y = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b3y = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(1 + by5)' equal to zero and attempt to solve: Simplifying 1 + by5 = 0 Solving 1 + by5 = 0 Move all terms containing b to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + by5 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + by5 = 0 + -1 by5 = 0 + -1 Combine like terms: 0 + -1 = -1 by5 = -1 Divide each side by 'y5'. b = -1y-5 Simplifying b = -1y-5

Solution

b = {-1y-5}

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