Solve k^2 + 13k + 30 = 0

If you are using the quadratic equation to find k then the answers will be k=-3 and k=10.

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}