(8m-7)(6+3m)=

Solution for (8m-7)(6+3m)= equation:

Simplifying
(8m + -7)(6 + 3m) = 0

Reorder the terms:
(-7 + 8m)(6 + 3m) = 0

Multiply (-7 + 8m) * (6 + 3m)
(-7(6 + 3m) + 8m * (6 + 3m)) = 0
((6 * -7 + 3m * -7) + 8m * (6 + 3m)) = 0
((-42 + -21m) + 8m * (6 + 3m)) = 0
(-42 + -21m + (6 * 8m + 3m * 8m)) = 0
(-42 + -21m + (48m + 24m2)) = 0

Combine like terms: -21m + 48m = 27m
(-42 + 27m + 24m2) = 0

Solving
-42 + 27m + 24m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-14 + 9m + 8m2) = 0

Factor a trinomial.
3((-2 + -1m)(7 + -8m)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-2 + -1m)' equal to zero and attempt to solve:

Simplifying
-2 + -1m = 0

Solving
-2 + -1m = 0

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

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

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

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

Divide each side by '-1'.
m = -2

Simplifying
m = -2
Subproblem 2
Set the factor '(7 + -8m)' equal to zero and attempt to solve:

Simplifying
7 + -8m = 0

Solving
7 + -8m = 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 + -8m = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -8m = 0 + -7
-8m = 0 + -7

Combine like terms: 0 + -7 = -7
-8m = -7

Divide each side by '-8'.
m = 0.875

Simplifying
m = 0.875
Solution
m = {-2, 0.875}