(3m-5)(4m-9)=0

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Solution for (3m-5)(4m-9)=0 equation: 


Simplifying
(3m + -5)(4m + -9) = 0

Reorder the terms:
(-5 + 3m)(4m + -9) = 0

Reorder the terms:
(-5 + 3m)(-9 + 4m) = 0

Multiply (-5 + 3m) * (-9 + 4m)
(-5(-9 + 4m) + 3m * (-9 + 4m)) = 0
((-9 * -5 + 4m * -5) + 3m * (-9 + 4m)) = 0
((45 + -20m) + 3m * (-9 + 4m)) = 0
(45 + -20m + (-9 * 3m + 4m * 3m)) = 0
(45 + -20m + (-27m + 12m2)) = 0

Combine like terms: -20m + -27m = -47m
(45 + -47m + 12m2) = 0

Solving
45 + -47m + 12m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(5 + -3m)(9 + -4m) = 0


Subproblem 1
Set the factor '(5 + -3m)' equal to zero and attempt to solve:

Simplifying
5 + -3m = 0

Solving
5 + -3m = 0

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

Add '-5' to each side of the equation.
5 + -5 + -3m = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3m = 0 + -5
-3m = 0 + -5

Combine like terms: 0 + -5 = -5
-3m = -5

Divide each side by '-3'.
m = 1.666666667

Simplifying
m = 1.666666667

Subproblem 2
Set the factor '(9 + -4m)' equal to zero and attempt to solve:

Simplifying
9 + -4m = 0

Solving
9 + -4m = 0

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

Add '-9' to each side of the equation.
9 + -9 + -4m = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -4m = 0 + -9
-4m = 0 + -9

Combine like terms: 0 + -9 = -9
-4m = -9

Divide each side by '-4'.
m = 2.25

Simplifying
m = 2.25
Solution
m = {1.666666667, 2.25}

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