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

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


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

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

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

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

Combine like terms: -21m + 8m = -13m
(-14 + -13m + 12m2) = 0

Solving
-14 + -13m + 12m2 = 0

Solving for variable 'm'.

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


Subproblem 1
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

Subproblem 2
Set the factor '(7 + -4m)' equal to zero and attempt to solve:

Simplifying
7 + -4m = 0

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

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

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

Divide each side by '-4'.
m = 1.75

Simplifying
m = 1.75
Solution
m = {-0.6666666667, 1.75}

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