k^2+13k+40=0

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Solution for k^2+13k+40=0 equation:


Simplifying
k2 + 13k + 40 = 0

Reorder the terms:
40 + 13k + k2 = 0

Solving
40 + 13k + k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(8 + k)(5 + 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 '(5 + k)' equal to zero and attempt to solve: Simplifying 5 + k = 0 Solving 5 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + k = 0 + -5 Combine like terms: 5 + -5 = 0 0 + k = 0 + -5 k = 0 + -5 Combine like terms: 0 + -5 = -5 k = -5 Simplifying k = -5

Solution

k = {-8, -5}

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