(k-8)(k+2)=0

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Solution for (k-8)(k+2)=0 equation: 


Simplifying
(k + -8)(k + 2) = 0

Reorder the terms:
(-8 + k)(k + 2) = 0

Reorder the terms:
(-8 + k)(2 + k) = 0

Multiply (-8 + k) * (2 + k)
(-8(2 + k) + k(2 + k)) = 0
((2 * -8 + k * -8) + k(2 + k)) = 0
((-16 + -8k) + k(2 + k)) = 0
(-16 + -8k + (2 * k + k * k)) = 0
(-16 + -8k + (2k + k2)) = 0

Combine like terms: -8k + 2k = -6k
(-16 + -6k + k2) = 0

Solving
-16 + -6k + k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(-2 + -1k)(8 + -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 '(8 + -1k)' equal to zero and attempt to solve:

Simplifying
8 + -1k = 0

Solving
8 + -1k = 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 + -1k = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1k = 0 + -8
-1k = 0 + -8

Combine like terms: 0 + -8 = -8
-1k = -8

Divide each side by '-1'.
k = 8

Simplifying
k = 8
Solution
k = {-2, 8}

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