(5k-6)(k+7)=

Solution for (5k-6)(k+7)= equation:

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

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

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

Multiply (-6 + 5k) * (7 + k)
(-6(7 + k) + 5k * (7 + k)) = 0
((7 * -6 + k * -6) + 5k * (7 + k)) = 0
((-42 + -6k) + 5k * (7 + k)) = 0
(-42 + -6k + (7 * 5k + k * 5k)) = 0
(-42 + -6k + (35k + 5k2)) = 0

Combine like terms: -6k + 35k = 29k
(-42 + 29k + 5k2) = 0

Solving
-42 + 29k + 5k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(-7 + -1k)(6 + -5k) = 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 + -5k)' equal to zero and attempt to solve:

Simplifying
6 + -5k = 0

Solving
6 + -5k = 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 + -5k = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5k = 0 + -6
-5k = 0 + -6

Combine like terms: 0 + -6 = -6
-5k = -6

Divide each side by '-5'.
k = 1.2

Simplifying
k = 1.2
Solution
k = {-7, 1.2}