(7m+3)(2m-6)=0

Solution for (7m+3)(2m-6)=0 equation:

Simplifying
(7m + 3)(2m + -6) = 0

Reorder the terms:
(3 + 7m)(2m + -6) = 0

Reorder the terms:
(3 + 7m)(-6 + 2m) = 0

Multiply (3 + 7m) * (-6 + 2m)
(3(-6 + 2m) + 7m * (-6 + 2m)) = 0
((-6 * 3 + 2m * 3) + 7m * (-6 + 2m)) = 0
((-18 + 6m) + 7m * (-6 + 2m)) = 0
(-18 + 6m + (-6 * 7m + 2m * 7m)) = 0
(-18 + 6m + (-42m + 14m2)) = 0

Combine like terms: 6m + -42m = -36m
(-18 + -36m + 14m2) = 0

Solving
-18 + -36m + 14m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-9 + -18m + 7m2) = 0

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

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

Simplifying
3 + -1m = 0

Solving
3 + -1m = 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 + -1m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1m = 0 + -3
-1m = 0 + -3

Combine like terms: 0 + -3 = -3
-1m = -3

Divide each side by '-1'.
m = 3

Simplifying
m = 3
Solution
m = {-0.4285714286, 3}