3(3m-4)(7-2m)=0

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Solution for 3(3m-4)(7-2m)=0 equation: 


Simplifying
3(3m + -4)(7 + -2m) = 0

Reorder the terms:
3(-4 + 3m)(7 + -2m) = 0

Multiply (-4 + 3m) * (7 + -2m)
3(-4(7 + -2m) + 3m * (7 + -2m)) = 0
3((7 * -4 + -2m * -4) + 3m * (7 + -2m)) = 0
3((-28 + 8m) + 3m * (7 + -2m)) = 0
3(-28 + 8m + (7 * 3m + -2m * 3m)) = 0
3(-28 + 8m + (21m + -6m2)) = 0

Combine like terms: 8m + 21m = 29m
3(-28 + 29m + -6m2) = 0
(-28 * 3 + 29m * 3 + -6m2 * 3) = 0
(-84 + 87m + -18m2) = 0

Solving
-84 + 87m + -18m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-28 + 29m + -6m2) = 0

Factor a trinomial.
3((-7 + 2m)(4 + -3m)) = 0

Ignore the factor 3.

Subproblem 1
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

Subproblem 2
Set the factor '(4 + -3m)' equal to zero and attempt to solve:

Simplifying
4 + -3m = 0

Solving
4 + -3m = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3m = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3m = 0 + -4
-3m = 0 + -4

Combine like terms: 0 + -4 = -4
-3m = -4

Divide each side by '-3'.
m = 1.333333333

Simplifying
m = 1.333333333
Solution
m = {3.5, 1.333333333}

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