(6m+7)(m-8)=

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Solution for (6m+7)(m-8)= equation: 


Simplifying
(6m + 7)(m + -8) = 0

Reorder the terms:
(7 + 6m)(m + -8) = 0

Reorder the terms:
(7 + 6m)(-8 + m) = 0

Multiply (7 + 6m) * (-8 + m)
(7(-8 + m) + 6m * (-8 + m)) = 0
((-8 * 7 + m * 7) + 6m * (-8 + m)) = 0
((-56 + 7m) + 6m * (-8 + m)) = 0
(-56 + 7m + (-8 * 6m + m * 6m)) = 0
(-56 + 7m + (-48m + 6m2)) = 0

Combine like terms: 7m + -48m = -41m
(-56 + -41m + 6m2) = 0

Solving
-56 + -41m + 6m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-7 + -6m)(8 + -1m) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(8 + -1m)' equal to zero and attempt to solve:

Simplifying
8 + -1m = 0

Solving
8 + -1m = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1m = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1m = 0 + -8
-1m = 0 + -8

Combine like terms: 0 + -8 = -8
-1m = -8

Divide each side by '-1'.
m = 8

Simplifying
m = 8
Solution
m = {-1.166666667, 8}

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