(4m-3y)(3m+y)=

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Solution for (4m-3y)(3m+y)= equation: 


Simplifying
(4m + -3y)(3m + y) = 0

Multiply (4m + -3y) * (3m + y)
(4m * (3m + y) + -3y * (3m + y)) = 0
((3m * 4m + y * 4m) + -3y * (3m + y)) = 0

Reorder the terms:
((4my + 12m2) + -3y * (3m + y)) = 0
((4my + 12m2) + -3y * (3m + y)) = 0
(4my + 12m2 + (3m * -3y + y * -3y)) = 0
(4my + 12m2 + (-9my + -3y2)) = 0

Reorder the terms:
(4my + -9my + 12m2 + -3y2) = 0

Combine like terms: 4my + -9my = -5my
(-5my + 12m2 + -3y2) = 0

Solving
-5my + 12m2 + -3y2 = 0

Solving for variable 'm'.

Factor a trinomial.
(4m + -3y)(3m + y) = 0


Subproblem 1
Set the factor '(4m + -3y)' equal to zero and attempt to solve:

Simplifying
4m + -3y = 0

Solving
4m + -3y = 0

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

Add '3y' to each side of the equation.
4m + -3y + 3y = 0 + 3y

Combine like terms: -3y + 3y = 0
4m + 0 = 0 + 3y
4m = 0 + 3y
Remove the zero:
4m = 3y

Divide each side by '4'.
m = 0.75y

Simplifying
m = 0.75y

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

Simplifying
3m + y = 0

Solving
3m + y = 0

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

Add '-1y' to each side of the equation.
3m + y + -1y = 0 + -1y

Combine like terms: y + -1y = 0
3m + 0 = 0 + -1y
3m = 0 + -1y
Remove the zero:
3m = -1y

Divide each side by '3'.
m = -0.3333333333y

Simplifying
m = -0.3333333333y
Solution
m = {0.75y, -0.3333333333y}

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