k^2-14k-72=0

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Solution for k^2-14k-72=0 equation: 


Simplifying
k2 + -14k + -72 = 0

Reorder the terms:
-72 + -14k + k2 = 0

Solving
-72 + -14k + k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(-4 + -1k)(18 + -1k) = 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 '(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 = {-4, 18}

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