(3m-2y)(3m+4y)=

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Solution for (3m-2y)(3m+4y)= equation: 


Simplifying
(3m + -2y)(3m + 4y) = 0

Multiply (3m + -2y) * (3m + 4y)
(3m * (3m + 4y) + -2y * (3m + 4y)) = 0
((3m * 3m + 4y * 3m) + -2y * (3m + 4y)) = 0

Reorder the terms:
((12my + 9m2) + -2y * (3m + 4y)) = 0
((12my + 9m2) + -2y * (3m + 4y)) = 0
(12my + 9m2 + (3m * -2y + 4y * -2y)) = 0
(12my + 9m2 + (-6my + -8y2)) = 0

Reorder the terms:
(12my + -6my + 9m2 + -8y2) = 0

Combine like terms: 12my + -6my = 6my
(6my + 9m2 + -8y2) = 0

Solving
6my + 9m2 + -8y2 = 0

Solving for variable 'm'.

Factor a trinomial.
(3m + -2y)(3m + 4y) = 0


Subproblem 1
Set the factor '(3m + -2y)' equal to zero and attempt to solve:

Simplifying
3m + -2y = 0

Solving
3m + -2y = 0

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

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

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

Divide each side by '3'.
m = 0.6666666667y

Simplifying
m = 0.6666666667y

Subproblem 2
Set the factor '(3m + 4y)' equal to zero and attempt to solve:

Simplifying
3m + 4y = 0

Solving
3m + 4y = 0

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

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

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

Divide each side by '3'.
m = -1.333333333y

Simplifying
m = -1.333333333y
Solution
m = {0.6666666667y, -1.333333333y}

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