3(3-2m)(7-3m)=0

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Solution for 3(3-2m)(7-3m)=0 equation: 


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

Multiply (3 + -2m) * (7 + -3m)
3(3(7 + -3m) + -2m * (7 + -3m)) = 0
3((7 * 3 + -3m * 3) + -2m * (7 + -3m)) = 0
3((21 + -9m) + -2m * (7 + -3m)) = 0
3(21 + -9m + (7 * -2m + -3m * -2m)) = 0
3(21 + -9m + (-14m + 6m2)) = 0

Combine like terms: -9m + -14m = -23m
3(21 + -23m + 6m2) = 0
(21 * 3 + -23m * 3 + 6m2 * 3) = 0
(63 + -69m + 18m2) = 0

Solving
63 + -69m + 18m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '3'.
3(21 + -23m + 6m2) = 0

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

Ignore the factor 3.

Subproblem 1
Set the factor '(3 + -2m)' equal to zero and attempt to solve:

Simplifying
3 + -2m = 0

Solving
3 + -2m = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2m = 0 + -3
-2m = 0 + -3

Combine like terms: 0 + -3 = -3
-2m = -3

Divide each side by '-2'.
m = 1.5

Simplifying
m = 1.5

Subproblem 2
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
Solution
m = {1.5, 2.333333333}

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