(k+7)(k-6)=

Solution for (k+7)(k-6)= equation:

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

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

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

Multiply (7 + k) * (-6 + k)
(7(-6 + k) + k(-6 + k)) = 0
((-6 * 7 + k * 7) + k(-6 + k)) = 0
((-42 + 7k) + k(-6 + k)) = 0
(-42 + 7k + (-6 * k + k * k)) = 0
(-42 + 7k + (-6k + k2)) = 0

Combine like terms: 7k + -6k = 1k
(-42 + 1k + k2) = 0

Solving
-42 + 1k + k2 = 0

Solving for variable 'k'.

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

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

Simplifying
-7 + -1k = 0

Solving
-7 + -1k = 0

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

Add '7' to each side of the equation.
-7 + 7 + -1k = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1k = 0 + 7
-1k = 0 + 7

Combine like terms: 0 + 7 = 7
-1k = 7

Divide each side by '-1'.
k = -7

Simplifying
k = -7
Subproblem 2
Set the factor '(6 + -1k)' equal to zero and attempt to solve:

Simplifying
6 + -1k = 0

Solving
6 + -1k = 0

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

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

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

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

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

Simplifying
k = 6
Solution
k = {-7, 6}