(6m+5)(11m-99)=0

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Solution for (6m+5)(11m-99)=0 equation: 


Simplifying
(6m + 5)(11m + -99) = 0

Reorder the terms:
(5 + 6m)(11m + -99) = 0

Reorder the terms:
(5 + 6m)(-99 + 11m) = 0

Multiply (5 + 6m) * (-99 + 11m)
(5(-99 + 11m) + 6m * (-99 + 11m)) = 0
((-99 * 5 + 11m * 5) + 6m * (-99 + 11m)) = 0
((-495 + 55m) + 6m * (-99 + 11m)) = 0
(-495 + 55m + (-99 * 6m + 11m * 6m)) = 0
(-495 + 55m + (-594m + 66m2)) = 0

Combine like terms: 55m + -594m = -539m
(-495 + -539m + 66m2) = 0

Solving
-495 + -539m + 66m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '11'.
11(-45 + -49m + 6m2) = 0

Factor a trinomial.
11((-5 + -6m)(9 + -1m)) = 0

Ignore the factor 11.

Subproblem 1
Set the factor '(-5 + -6m)' equal to zero and attempt to solve:

Simplifying
-5 + -6m = 0

Solving
-5 + -6m = 0

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

Add '5' to each side of the equation.
-5 + 5 + -6m = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -6m = 0 + 5
-6m = 0 + 5

Combine like terms: 0 + 5 = 5
-6m = 5

Divide each side by '-6'.
m = -0.8333333333

Simplifying
m = -0.8333333333

Subproblem 2
Set the factor '(9 + -1m)' equal to zero and attempt to solve:

Simplifying
9 + -1m = 0

Solving
9 + -1m = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1m = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1m = 0 + -9
-1m = 0 + -9

Combine like terms: 0 + -9 = -9
-1m = -9

Divide each side by '-1'.
m = 9

Simplifying
m = 9
Solution
m = {-0.8333333333, 9}

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