(3m-7)(2m+1)=0

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Solution for (3m-7)(2m+1)=0 equation: 


Simplifying
(3m + -7)(2m + 1) = 0

Reorder the terms:
(-7 + 3m)(2m + 1) = 0

Reorder the terms:
(-7 + 3m)(1 + 2m) = 0

Multiply (-7 + 3m) * (1 + 2m)
(-7(1 + 2m) + 3m * (1 + 2m)) = 0
((1 * -7 + 2m * -7) + 3m * (1 + 2m)) = 0
((-7 + -14m) + 3m * (1 + 2m)) = 0
(-7 + -14m + (1 * 3m + 2m * 3m)) = 0
(-7 + -14m + (3m + 6m2)) = 0

Combine like terms: -14m + 3m = -11m
(-7 + -11m + 6m2) = 0

Solving
-7 + -11m + 6m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-1 + -2m)(7 + -3m) = 0


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

Simplifying
-1 + -2m = 0

Solving
-1 + -2m = 0

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

Add '1' to each side of the equation.
-1 + 1 + -2m = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2m = 0 + 1
-2m = 0 + 1

Combine like terms: 0 + 1 = 1
-2m = 1

Divide each side by '-2'.
m = -0.5

Simplifying
m = -0.5

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 = {-0.5, 2.333333333}

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