(3m-8)(2m-7)=

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Solution for (3m-8)(2m-7)= equation: 


Simplifying
(3m + -8)(2m + -7) = 0

Reorder the terms:
(-8 + 3m)(2m + -7) = 0

Reorder the terms:
(-8 + 3m)(-7 + 2m) = 0

Multiply (-8 + 3m) * (-7 + 2m)
(-8(-7 + 2m) + 3m * (-7 + 2m)) = 0
((-7 * -8 + 2m * -8) + 3m * (-7 + 2m)) = 0
((56 + -16m) + 3m * (-7 + 2m)) = 0
(56 + -16m + (-7 * 3m + 2m * 3m)) = 0
(56 + -16m + (-21m + 6m2)) = 0

Combine like terms: -16m + -21m = -37m
(56 + -37m + 6m2) = 0

Solving
56 + -37m + 6m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(8 + -3m)(7 + -2m) = 0


Subproblem 1
Set the factor '(8 + -3m)' equal to zero and attempt to solve:

Simplifying
8 + -3m = 0

Solving
8 + -3m = 0

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

Add '-8' to each side of the equation.
8 + -8 + -3m = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3m = 0 + -8
-3m = 0 + -8

Combine like terms: 0 + -8 = -8
-3m = -8

Divide each side by '-3'.
m = 2.666666667

Simplifying
m = 2.666666667

Subproblem 2
Set the factor '(7 + -2m)' equal to zero and attempt to solve:

Simplifying
7 + -2m = 0

Solving
7 + -2m = 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 + -2m = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2m = 0 + -7
-2m = 0 + -7

Combine like terms: 0 + -7 = -7
-2m = -7

Divide each side by '-2'.
m = 3.5

Simplifying
m = 3.5
Solution
m = {2.666666667, 3.5}

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