4m^2-16my+15y^2=

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Solution for 4m^2-16my+15y^2= equation: 


Simplifying
4m2 + -16my + 15y2 = 0

Reorder the terms:
-16my + 4m2 + 15y2 = 0

Solving
-16my + 4m2 + 15y2 = 0

Solving for variable 'm'.

Factor a trinomial.
(2m + -5y)(2m + -3y) = 0


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

Simplifying
2m + -5y = 0

Solving
2m + -5y = 0

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

Add '5y' to each side of the equation.
2m + -5y + 5y = 0 + 5y

Combine like terms: -5y + 5y = 0
2m + 0 = 0 + 5y
2m = 0 + 5y
Remove the zero:
2m = 5y

Divide each side by '2'.
m = 2.5y

Simplifying
m = 2.5y

Subproblem 2
Set the factor '(2m + -3y)' equal to zero and attempt to solve:

Simplifying
2m + -3y = 0

Solving
2m + -3y = 0

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

Add '3y' to each side of the equation.
2m + -3y + 3y = 0 + 3y

Combine like terms: -3y + 3y = 0
2m + 0 = 0 + 3y
2m = 0 + 3y
Remove the zero:
2m = 3y

Divide each side by '2'.
m = 1.5y

Simplifying
m = 1.5y
Solution
m = {2.5y, 1.5y}

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