(2m-7)(k-6)=0

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

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

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

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

Multiply (-7 + 2m) * (-6 + k)
(-7(-6 + k) + 2m * (-6 + k)) = 0
((-6 * -7 + k * -7) + 2m * (-6 + k)) = 0
((42 + -7k) + 2m * (-6 + k)) = 0
(42 + -7k + (-6 * 2m + k * 2m)) = 0

Reorder the terms:
(42 + -7k + (2km + -12m)) = 0
(42 + -7k + (2km + -12m)) = 0
(42 + -7k + 2km + -12m) = 0

Solving
42 + -7k + 2km + -12m = 0

Solving for variable 'k'.

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

Add '-42' to each side of the equation.
42 + -7k + 2km + -42 + -12m = 0 + -42

Reorder the terms:
42 + -42 + -7k + 2km + -12m = 0 + -42

Combine like terms: 42 + -42 = 0
0 + -7k + 2km + -12m = 0 + -42
-7k + 2km + -12m = 0 + -42

Combine like terms: 0 + -42 = -42
-7k + 2km + -12m = -42

Add '12m' to each side of the equation.
-7k + 2km + -12m + 12m = -42 + 12m

Combine like terms: -12m + 12m = 0
-7k + 2km + 0 = -42 + 12m
-7k + 2km = -42 + 12m

Reorder the terms:
42 + -7k + 2km + -12m = -42 + 12m + 42 + -12m

Reorder the terms:
42 + -7k + 2km + -12m = -42 + 42 + 12m + -12m

Combine like terms: -42 + 42 = 0
42 + -7k + 2km + -12m = 0 + 12m + -12m
42 + -7k + 2km + -12m = 12m + -12m

Combine like terms: 12m + -12m = 0
42 + -7k + 2km + -12m = 0

The solution to this equation could not be determined.