k^2+7k-30=0

Solution for k^2+7k-30=0 equation:

Simplifying
k2 + 7k + -30 = 0

Reorder the terms:
-30 + 7k + k2 = 0

Solving
-30 + 7k + k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(-10 + -1k)(3 + -1k) = 0

Subproblem 1
Set the factor '(-10 + -1k)' equal to zero and attempt to solve:

Simplifying
-10 + -1k = 0

Solving
-10 + -1k = 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 + -1k = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1k = 0 + 10
-1k = 0 + 10

Combine like terms: 0 + 10 = 10
-1k = 10

Divide each side by '-1'.
k = -10

Simplifying
k = -10
Subproblem 2
Set the factor '(3 + -1k)' equal to zero and attempt to solve:

Simplifying
3 + -1k = 0

Solving
3 + -1k = 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 + -1k = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1k = 0 + -3
-1k = 0 + -3

Combine like terms: 0 + -3 = -3
-1k = -3

Divide each side by '-1'.
k = 3

Simplifying
k = 3
Solution
k = {-10, 3}