(7m-1)(2m-3)=0

Solution for (7m-1)(2m-3)=0 equation:

Simplifying
(7m + -1)(2m + -3) = 0

Reorder the terms:
(-1 + 7m)(2m + -3) = 0

Reorder the terms:
(-1 + 7m)(-3 + 2m) = 0

Multiply (-1 + 7m) * (-3 + 2m)
(-1(-3 + 2m) + 7m * (-3 + 2m)) = 0
((-3 * -1 + 2m * -1) + 7m * (-3 + 2m)) = 0
((3 + -2m) + 7m * (-3 + 2m)) = 0
(3 + -2m + (-3 * 7m + 2m * 7m)) = 0
(3 + -2m + (-21m + 14m2)) = 0

Combine like terms: -2m + -21m = -23m
(3 + -23m + 14m2) = 0

Solving
3 + -23m + 14m2 = 0

Solving for variable 'm'.

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

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

Simplifying
3 + -2m = 0

Solving
3 + -2m = 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 + -2m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2m = 0 + -3
-2m = 0 + -3

Combine like terms: 0 + -3 = -3
-2m = -3

Divide each side by '-2'.
m = 1.5

Simplifying
m = 1.5
Solution
m = {0.1428571429, 1.5}