0=k^2+k-20

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Solution for 0=k^2+k-20 equation: 


Simplifying
0 = k2 + k + -20

Reorder the terms:
0 = -20 + k + k2

Solving
0 = -20 + k + k2

Solving for variable 'k'.

Combine like terms: 0 + 20 = 20
20 + -1k + -1k2 = -20 + k + k2 + 20 + -1k + -1k2

Reorder the terms:
20 + -1k + -1k2 = -20 + 20 + k + -1k + k2 + -1k2

Combine like terms: -20 + 20 = 0
20 + -1k + -1k2 = 0 + k + -1k + k2 + -1k2
20 + -1k + -1k2 = k + -1k + k2 + -1k2

Combine like terms: k + -1k = 0
20 + -1k + -1k2 = 0 + k2 + -1k2
20 + -1k + -1k2 = k2 + -1k2

Combine like terms: k2 + -1k2 = 0
20 + -1k + -1k2 = 0

Factor a trinomial.
(4 + -1k)(5 + k) = 0


Subproblem 1
Set the factor '(4 + -1k)' equal to zero and attempt to solve:

Simplifying
4 + -1k = 0

Solving
4 + -1k = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1k = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1k = 0 + -4
-1k = 0 + -4

Combine like terms: 0 + -4 = -4
-1k = -4

Divide each side by '-1'.
k = 4

Simplifying
k = 4

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 = {4, -5}

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