(2m-5)(3m-7)=

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Solution for (2m-5)(3m-7)= equation: 


Simplifying
(2m + -5)(3m + -7) = 0

Reorder the terms:
(-5 + 2m)(3m + -7) = 0

Reorder the terms:
(-5 + 2m)(-7 + 3m) = 0

Multiply (-5 + 2m) * (-7 + 3m)
(-5(-7 + 3m) + 2m * (-7 + 3m)) = 0
((-7 * -5 + 3m * -5) + 2m * (-7 + 3m)) = 0
((35 + -15m) + 2m * (-7 + 3m)) = 0
(35 + -15m + (-7 * 2m + 3m * 2m)) = 0
(35 + -15m + (-14m + 6m2)) = 0

Combine like terms: -15m + -14m = -29m
(35 + -29m + 6m2) = 0

Solving
35 + -29m + 6m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(7 + -3m)(5 + -2m) = 0


Subproblem 1
Set the factor '(7 + -3m)' equal to zero and attempt to solve:

Simplifying
7 + -3m = 0

Solving
7 + -3m = 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 + -3m = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3m = 0 + -7
-3m = 0 + -7

Combine like terms: 0 + -7 = -7
-3m = -7

Divide each side by '-3'.
m = 2.333333333

Simplifying
m = 2.333333333

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

Simplifying
5 + -2m = 0

Solving
5 + -2m = 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 + -2m = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2m = 0 + -5
-2m = 0 + -5

Combine like terms: 0 + -5 = -5
-2m = -5

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

Simplifying
m = 2.5
Solution
m = {2.333333333, 2.5}

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