k*k+15k=-56

Solution for k*k+15k=-56 equation:

Simplifying
k * k + 15k = -56

Multiply k * k
k2 + 15k = -56

Reorder the terms:
15k + k2 = -56

Solving
15k + k2 = -56

Solving for variable 'k'.

Reorder the terms:
56 + 15k + k2 = -56 + 56

Combine like terms: -56 + 56 = 0
56 + 15k + k2 = 0

Factor a trinomial.
(8 + k)(7 + k) = 0

Subproblem 1
Set the factor '(8 + k)' equal to zero and attempt to solve:

Simplifying
8 + k = 0

Solving
8 + k = 0

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

Add '-8' to each side of the equation.
8 + -8 + k = 0 + -8

Combine like terms: 8 + -8 = 0
0 + k = 0 + -8
k = 0 + -8

Combine like terms: 0 + -8 = -8
k = -8

Simplifying
k = -8
Subproblem 2
Set the factor '(7 + k)' equal to zero and attempt to solve:

Simplifying
7 + k = 0

Solving
7 + k = 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 + k = 0 + -7

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

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

Simplifying
k = -7
Solution
k = {-8, -7}