Simplifying
k2 + 13k + 30 = 0
Reorder the terms:
30 + 13k + k2 = 0
Solving
30 + 13k + k2 = 0
Solving for variable 'k'.
Factor a trinomial.
(10 + k)(3 + k) = 0
Subproblem 1Set the factor '(10 + k)' equal to zero and attempt to solve:
Simplifying
10 + k = 0
Solving
10 + k = 0
Move all terms containing k to the left, all other terms to the right.
Add '-10' to each side of the equation.
10 + -10 + k = 0 + -10
Combine like terms: 10 + -10 = 0
0 + k = 0 + -10
k = 0 + -10
Combine like terms: 0 + -10 = -10
k = -10
Simplifying
k = -10
Subproblem 2Set the factor '(3 + k)' equal to zero and attempt to solve:
Simplifying
3 + k = 0
Solving
3 + k = 0
Move all terms containing k to the left, all other terms to the right.
Add '-3' to each side of the equation.
3 + -3 + k = 0 + -3
Combine like terms: 3 + -3 = 0
0 + k = 0 + -3
k = 0 + -3
Combine like terms: 0 + -3 = -3
k = -3
Simplifying
k = -3Solutionk = {-10, -3}
