(5m-7)(m-6)=0

Solution for (5m-7)(m-6)=0 equation:

Simplifying
(5m + -7)(m + -6) = 0

Reorder the terms:
(-7 + 5m)(m + -6) = 0

Reorder the terms:
(-7 + 5m)(-6 + m) = 0

Multiply (-7 + 5m) * (-6 + m)
(-7(-6 + m) + 5m * (-6 + m)) = 0
((-6 * -7 + m * -7) + 5m * (-6 + m)) = 0
((42 + -7m) + 5m * (-6 + m)) = 0
(42 + -7m + (-6 * 5m + m * 5m)) = 0
(42 + -7m + (-30m + 5m2)) = 0

Combine like terms: -7m + -30m = -37m
(42 + -37m + 5m2) = 0

Solving
42 + -37m + 5m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(7 + -5m)(6 + -1m) = 0

Subproblem 1
Set the factor '(7 + -5m)' equal to zero and attempt to solve:

Simplifying
7 + -5m = 0

Solving
7 + -5m = 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 + -5m = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -5m = 0 + -7
-5m = 0 + -7

Combine like terms: 0 + -7 = -7
-5m = -7

Divide each side by '-5'.
m = 1.4

Simplifying
m = 1.4
Subproblem 2
Set the factor '(6 + -1m)' equal to zero and attempt to solve:

Simplifying
6 + -1m = 0

Solving
6 + -1m = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1m = 0 + -6

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

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

Divide each side by '-1'.
m = 6

Simplifying
m = 6
Solution
m = {1.4, 6}