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

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


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

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

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

Multiply (-2 + 3m) * (-4 + 7m)
(-2(-4 + 7m) + 3m * (-4 + 7m)) = 0
((-4 * -2 + 7m * -2) + 3m * (-4 + 7m)) = 0
((8 + -14m) + 3m * (-4 + 7m)) = 0
(8 + -14m + (-4 * 3m + 7m * 3m)) = 0
(8 + -14m + (-12m + 21m2)) = 0

Combine like terms: -14m + -12m = -26m
(8 + -26m + 21m2) = 0

Solving
8 + -26m + 21m2 = 0

Solving for variable 'm'.

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


Subproblem 1
Set the factor '(4 + -7m)' equal to zero and attempt to solve:

Simplifying
4 + -7m = 0

Solving
4 + -7m = 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 + -7m = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -7m = 0 + -4
-7m = 0 + -4

Combine like terms: 0 + -4 = -4
-7m = -4

Divide each side by '-7'.
m = 0.5714285714

Simplifying
m = 0.5714285714

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

Simplifying
2 + -3m = 0

Solving
2 + -3m = 0

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

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

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

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

Divide each side by '-3'.
m = 0.6666666667

Simplifying
m = 0.6666666667
Solution
m = {0.5714285714, 0.6666666667}

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