3k^2-10k-96=2k

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Solution for 3k^2-10k-96=2k equation:


Simplifying
3k2 + -10k + -96 = 2k

Reorder the terms:
-96 + -10k + 3k2 = 2k

Solving
-96 + -10k + 3k2 = 2k

Solving for variable 'k'.

Reorder the terms:
-96 + -10k + -2k + 3k2 = 2k + -2k

Combine like terms: -10k + -2k = -12k
-96 + -12k + 3k2 = 2k + -2k

Combine like terms: 2k + -2k = 0
-96 + -12k + 3k2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-32 + -4k + k2) = 0

Factor a trinomial.
3((-4 + -1k)(8 + -1k)) = 0

Ignore the factor 3.

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 '(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 = {-4, 8}

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