(-3m-6)(7m+1)=

Solution for (-3m-6)(7m+1)= equation:

Simplifying
(-3m + -6)(7m + 1) = 0

Reorder the terms:
(-6 + -3m)(7m + 1) = 0

Reorder the terms:
(-6 + -3m)(1 + 7m) = 0

Multiply (-6 + -3m) * (1 + 7m)
(-6(1 + 7m) + -3m * (1 + 7m)) = 0
((1 * -6 + 7m * -6) + -3m * (1 + 7m)) = 0
((-6 + -42m) + -3m * (1 + 7m)) = 0
(-6 + -42m + (1 * -3m + 7m * -3m)) = 0
(-6 + -42m + (-3m + -21m2)) = 0

Combine like terms: -42m + -3m = -45m
(-6 + -45m + -21m2) = 0

Solving
-6 + -45m + -21m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '-3'.
-3(2 + 15m + 7m2) = 0

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

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

Simplifying
2 + m = 0

Solving
2 + m = 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 + m = 0 + -2

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

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

Simplifying
m = -2
Subproblem 2
Set the factor '(1 + 7m)' equal to zero and attempt to solve:

Simplifying
1 + 7m = 0

Solving
1 + 7m = 0

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

Add '-1' to each side of the equation.
1 + -1 + 7m = 0 + -1

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

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

Divide each side by '7'.
m = -0.1428571429

Simplifying
m = -0.1428571429
Solution
m = {-2, -0.1428571429}