k^2-12k-72=-8

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Solution for k^2-12k-72=-8 equation: 


Simplifying
k2 + -12k + -72 = -8

Reorder the terms:
-72 + -12k + k2 = -8

Solving
-72 + -12k + k2 = -8

Solving for variable 'k'.

Reorder the terms:
-72 + 8 + -12k + k2 = -8 + 8

Combine like terms: -72 + 8 = -64
-64 + -12k + k2 = -8 + 8

Combine like terms: -8 + 8 = 0
-64 + -12k + k2 = 0

Factor a trinomial.
(-4 + -1k)(16 + -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 '(16 + -1k)' equal to zero and attempt to solve:

Simplifying
16 + -1k = 0

Solving
16 + -1k = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1k = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1k = 0 + -16
-1k = 0 + -16

Combine like terms: 0 + -16 = -16
-1k = -16

Divide each side by '-1'.
k = 16

Simplifying
k = 16
Solution
k = {-4, 16}

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