(2k^2+4k)-(5k^2-2)-(k^2+8k-6)=

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Solution for (2k^2+4k)-(5k^2-2)-(k^2+8k-6)= equation: 


Simplifying
(2k2 + 4k) + -1(5k2 + -2) + -1(k2 + 8k + -6) = 0

Reorder the terms:
(4k + 2k2) + -1(5k2 + -2) + -1(k2 + 8k + -6) = 0

Remove parenthesis around (4k + 2k2)
4k + 2k2 + -1(5k2 + -2) + -1(k2 + 8k + -6) = 0

Reorder the terms:
4k + 2k2 + -1(-2 + 5k2) + -1(k2 + 8k + -6) = 0
4k + 2k2 + (-2 * -1 + 5k2 * -1) + -1(k2 + 8k + -6) = 0
4k + 2k2 + (2 + -5k2) + -1(k2 + 8k + -6) = 0

Reorder the terms:
4k + 2k2 + 2 + -5k2 + -1(-6 + 8k + k2) = 0
4k + 2k2 + 2 + -5k2 + (-6 * -1 + 8k * -1 + k2 * -1) = 0
4k + 2k2 + 2 + -5k2 + (6 + -8k + -1k2) = 0

Reorder the terms:
2 + 6 + 4k + -8k + 2k2 + -5k2 + -1k2 = 0

Combine like terms: 2 + 6 = 8
8 + 4k + -8k + 2k2 + -5k2 + -1k2 = 0

Combine like terms: 4k + -8k = -4k
8 + -4k + 2k2 + -5k2 + -1k2 = 0

Combine like terms: 2k2 + -5k2 = -3k2
8 + -4k + -3k2 + -1k2 = 0

Combine like terms: -3k2 + -1k2 = -4k2
8 + -4k + -4k2 = 0

Solving
8 + -4k + -4k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '4'.
4(2 + -1k + -1k2) = 0

Factor a trinomial.
4((1 + -1k)(2 + k)) = 0

Ignore the factor 4.

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 '(2 + k)' equal to zero and attempt to solve:

Simplifying
2 + k = 0

Solving
2 + k = 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 + k = 0 + -2

Combine like terms: 2 + -2 = 0
0 + k = 0 + -2
k = 0 + -2

Combine like terms: 0 + -2 = -2
k = -2

Simplifying
k = -2
Solution
k = {1, -2}

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