(y^2+8y+15)m^2=m(y+5)

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Solution for (y^2+8y+15)m^2=m(y+5) equation: 


Simplifying
(y2 + 8y + 15) * m2 = m(y + 5)

Reorder the terms:
(15 + 8y + y2) * m2 = m(y + 5)

Reorder the terms for easier multiplication:
m2(15 + 8y + y2) = m(y + 5)
(15 * m2 + 8y * m2 + y2 * m2) = m(y + 5)
(15m2 + 8m2y + m2y2) = m(y + 5)

Reorder the terms:
15m2 + 8m2y + m2y2 = m(5 + y)
15m2 + 8m2y + m2y2 = (5 * m + y * m)
15m2 + 8m2y + m2y2 = (5m + my)

Solving
15m2 + 8m2y + m2y2 = 5m + my

Solving for variable 'm'.

Reorder the terms:
-5m + -1my + 15m2 + 8m2y + m2y2 = 5m + my + -5m + -1my

Reorder the terms:
-5m + -1my + 15m2 + 8m2y + m2y2 = 5m + -5m + my + -1my

Combine like terms: 5m + -5m = 0
-5m + -1my + 15m2 + 8m2y + m2y2 = 0 + my + -1my
-5m + -1my + 15m2 + 8m2y + m2y2 = my + -1my

Combine like terms: my + -1my = 0
-5m + -1my + 15m2 + 8m2y + m2y2 = 0

Factor out the Greatest Common Factor (GCF), 'm'.
m(-5 + -1y + 15m + 8my + my2) = 0


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

Simplifying
m = 0

Solving
m = 0

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

Simplifying
m = 0

Subproblem 2
Set the factor '(-5 + -1y + 15m + 8my + my2)' equal to zero and attempt to solve:

Simplifying
-5 + -1y + 15m + 8my + my2 = 0

Reorder the terms:
-5 + 15m + 8my + my2 + -1y = 0

Solving
-5 + 15m + 8my + my2 + -1y = 0

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

Add '5' to each side of the equation.
-5 + 15m + 8my + my2 + 5 + -1y = 0 + 5

Reorder the terms:
-5 + 5 + 15m + 8my + my2 + -1y = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 15m + 8my + my2 + -1y = 0 + 5
15m + 8my + my2 + -1y = 0 + 5

Combine like terms: 0 + 5 = 5
15m + 8my + my2 + -1y = 5

Add 'y' to each side of the equation.
15m + 8my + my2 + -1y + y = 5 + y

Combine like terms: -1y + y = 0
15m + 8my + my2 + 0 = 5 + y
15m + 8my + my2 = 5 + y

The solution to this equation could not be determined.

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

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