(6m-7)(2m+12)=0

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Solution for (6m-7)(2m+12)=0 equation: 


Simplifying
(6m + -7)(2m + 12) = 0

Reorder the terms:
(-7 + 6m)(2m + 12) = 0

Reorder the terms:
(-7 + 6m)(12 + 2m) = 0

Multiply (-7 + 6m) * (12 + 2m)
(-7(12 + 2m) + 6m * (12 + 2m)) = 0
((12 * -7 + 2m * -7) + 6m * (12 + 2m)) = 0
((-84 + -14m) + 6m * (12 + 2m)) = 0
(-84 + -14m + (12 * 6m + 2m * 6m)) = 0
(-84 + -14m + (72m + 12m2)) = 0

Combine like terms: -14m + 72m = 58m
(-84 + 58m + 12m2) = 0

Solving
-84 + 58m + 12m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-42 + 29m + 6m2) = 0

Factor a trinomial.
2((-6 + -1m)(7 + -6m)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-6 + -1m)' equal to zero and attempt to solve:

Simplifying
-6 + -1m = 0

Solving
-6 + -1m = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1m = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1m = 0 + 6
-1m = 0 + 6

Combine like terms: 0 + 6 = 6
-1m = 6

Divide each side by '-1'.
m = -6

Simplifying
m = -6

Subproblem 2
Set the factor '(7 + -6m)' equal to zero and attempt to solve:

Simplifying
7 + -6m = 0

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

Combine like terms: 7 + -7 = 0
0 + -6m = 0 + -7
-6m = 0 + -7

Combine like terms: 0 + -7 = -7
-6m = -7

Divide each side by '-6'.
m = 1.166666667

Simplifying
m = 1.166666667
Solution
m = {-6, 1.166666667}

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