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

Solution for (7m+3)(6m-1)=0 equation:

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

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

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

Multiply (3 + 7m) * (-1 + 6m)
(3(-1 + 6m) + 7m * (-1 + 6m)) = 0
((-1 * 3 + 6m * 3) + 7m * (-1 + 6m)) = 0
((-3 + 18m) + 7m * (-1 + 6m)) = 0
(-3 + 18m + (-1 * 7m + 6m * 7m)) = 0
(-3 + 18m + (-7m + 42m2)) = 0

Combine like terms: 18m + -7m = 11m
(-3 + 11m + 42m2) = 0

Solving
-3 + 11m + 42m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-3 + -7m)(1 + -6m) = 0

Subproblem 1
Set the factor '(-3 + -7m)' equal to zero and attempt to solve:

Simplifying
-3 + -7m = 0

Solving
-3 + -7m = 0

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

Add '3' to each side of the equation.
-3 + 3 + -7m = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -7m = 0 + 3
-7m = 0 + 3

Combine like terms: 0 + 3 = 3
-7m = 3

Divide each side by '-7'.
m = -0.4285714286

Simplifying
m = -0.4285714286
Subproblem 2
Set the factor '(1 + -6m)' equal to zero and attempt to solve:

Simplifying
1 + -6m = 0

Solving
1 + -6m = 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 + -6m = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -6m = 0 + -1
-6m = 0 + -1

Combine like terms: 0 + -1 = -1
-6m = -1

Divide each side by '-6'.
m = 0.1666666667

Simplifying
m = 0.1666666667
Solution
m = {-0.4285714286, 0.1666666667}