2k^2+18k-44=0

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Solution for 2k^2+18k-44=0 equation:


Simplifying
2k2 + 18k + -44 = 0

Reorder the terms:
-44 + 18k + 2k2 = 0

Solving
-44 + 18k + 2k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-22 + 9k + k2) = 0

Factor a trinomial.
2((-11 + -1k)(2 + -1k)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-11 + -1k)' equal to zero and attempt to solve: Simplifying -11 + -1k = 0 Solving -11 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -1k = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1k = 0 + 11 -1k = 0 + 11 Combine like terms: 0 + 11 = 11 -1k = 11 Divide each side by '-1'. k = -11 Simplifying k = -11

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 = {-11, 2}

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