3k^2-24=-6k

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Solution for 3k^2-24=-6k equation:


Simplifying
3k2 + -24 = -6k

Reorder the terms:
-24 + 3k2 = -6k

Solving
-24 + 3k2 = -6k

Solving for variable 'k'.

Reorder the terms:
-24 + 6k + 3k2 = -6k + 6k

Combine like terms: -6k + 6k = 0
-24 + 6k + 3k2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-8 + 2k + k2) = 0

Factor a trinomial.
3((-4 + -1k)(2 + -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 '(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 = {-4, 2}

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