(3m-5)(4m-7)=0

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Solution for (3m-5)(4m-7)=0 equation: 


Simplifying
(3m + -5)(4m + -7) = 0

Reorder the terms:
(-5 + 3m)(4m + -7) = 0

Reorder the terms:
(-5 + 3m)(-7 + 4m) = 0

Multiply (-5 + 3m) * (-7 + 4m)
(-5(-7 + 4m) + 3m * (-7 + 4m)) = 0
((-7 * -5 + 4m * -5) + 3m * (-7 + 4m)) = 0
((35 + -20m) + 3m * (-7 + 4m)) = 0
(35 + -20m + (-7 * 3m + 4m * 3m)) = 0
(35 + -20m + (-21m + 12m2)) = 0

Combine like terms: -20m + -21m = -41m
(35 + -41m + 12m2) = 0

Solving
35 + -41m + 12m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(5 + -3m)(7 + -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 '(7 + -4m)' equal to zero and attempt to solve:

Simplifying
7 + -4m = 0

Solving
7 + -4m = 0

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

Add '-7' to each side of the equation.
7 + -7 + -4m = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4m = 0 + -7
-4m = 0 + -7

Combine like terms: 0 + -7 = -7
-4m = -7

Divide each side by '-4'.
m = 1.75

Simplifying
m = 1.75
Solution
m = {1.666666667, 1.75}

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