k^2-16k-36=0

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Solution for k^2-16k-36=0 equation: 


Simplifying
k2 + -16k + -36 = 0

Reorder the terms:
-36 + -16k + k2 = 0

Solving
-36 + -16k + k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(-2 + -1k)(18 + -1k) = 0


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

Simplifying
-2 + -1k = 0

Solving
-2 + -1k = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1k = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1k = 0 + 2
-1k = 0 + 2

Combine like terms: 0 + 2 = 2
-1k = 2

Divide each side by '-1'.
k = -2

Simplifying
k = -2

Subproblem 2
Set the factor '(18 + -1k)' equal to zero and attempt to solve:

Simplifying
18 + -1k = 0

Solving
18 + -1k = 0

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

Add '-18' to each side of the equation.
18 + -18 + -1k = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -1k = 0 + -18
-1k = 0 + -18

Combine like terms: 0 + -18 = -18
-1k = -18

Divide each side by '-1'.
k = 18

Simplifying
k = 18
Solution
k = {-2, 18}

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