(6m-11)(m+7)=0

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Solution for (6m-11)(m+7)=0 equation: 


Simplifying
(6m + -11)(m + 7) = 0

Reorder the terms:
(-11 + 6m)(m + 7) = 0

Reorder the terms:
(-11 + 6m)(7 + m) = 0

Multiply (-11 + 6m) * (7 + m)
(-11(7 + m) + 6m * (7 + m)) = 0
((7 * -11 + m * -11) + 6m * (7 + m)) = 0
((-77 + -11m) + 6m * (7 + m)) = 0
(-77 + -11m + (7 * 6m + m * 6m)) = 0
(-77 + -11m + (42m + 6m2)) = 0

Combine like terms: -11m + 42m = 31m
(-77 + 31m + 6m2) = 0

Solving
-77 + 31m + 6m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-7 + -1m)(11 + -6m) = 0


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

Simplifying
-7 + -1m = 0

Solving
-7 + -1m = 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 + -1m = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1m = 0 + 7
-1m = 0 + 7

Combine like terms: 0 + 7 = 7
-1m = 7

Divide each side by '-1'.
m = -7

Simplifying
m = -7

Subproblem 2
Set the factor '(11 + -6m)' equal to zero and attempt to solve:

Simplifying
11 + -6m = 0

Solving
11 + -6m = 0

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

Add '-11' to each side of the equation.
11 + -11 + -6m = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -6m = 0 + -11
-6m = 0 + -11

Combine like terms: 0 + -11 = -11
-6m = -11

Divide each side by '-6'.
m = 1.833333333

Simplifying
m = 1.833333333
Solution
m = {-7, 1.833333333}

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