(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.
(-8 + -1k)(2 + -1k) = 0


Subproblem 1
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

Subproblem 2
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
Solution
k = {-8, 2}

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