(3m-8)(2m-9)=0

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Solution for (3m-8)(2m-9)=0 equation: 


Simplifying
(3m + -8)(2m + -9) = 0

Reorder the terms:
(-8 + 3m)(2m + -9) = 0

Reorder the terms:
(-8 + 3m)(-9 + 2m) = 0

Multiply (-8 + 3m) * (-9 + 2m)
(-8(-9 + 2m) + 3m * (-9 + 2m)) = 0
((-9 * -8 + 2m * -8) + 3m * (-9 + 2m)) = 0
((72 + -16m) + 3m * (-9 + 2m)) = 0
(72 + -16m + (-9 * 3m + 2m * 3m)) = 0
(72 + -16m + (-27m + 6m2)) = 0

Combine like terms: -16m + -27m = -43m
(72 + -43m + 6m2) = 0

Solving
72 + -43m + 6m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(8 + -3m)(9 + -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 '(9 + -2m)' equal to zero and attempt to solve:

Simplifying
9 + -2m = 0

Solving
9 + -2m = 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 + -2m = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -2m = 0 + -9
-2m = 0 + -9

Combine like terms: 0 + -9 = -9
-2m = -9

Divide each side by '-2'.
m = 4.5

Simplifying
m = 4.5
Solution
m = {2.666666667, 4.5}

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