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

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


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

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

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

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

Combine like terms: 2k + -16k = -14k
(-16 + -14k + 2k2) = 0

Solving
-16 + -14k + 2k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-8 + -7k + k2) = 0

Factor a trinomial.
2((-1 + -1k)(8 + -1k)) = 0

Ignore the factor 2.

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

Simplifying
-1 + -1k = 0

Solving
-1 + -1k = 0

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

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

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

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

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

Simplifying
k = -1

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 = {-1, 8}

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