6k^2+29k+20=0

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Solution for 6k^2+29k+20=0 equation:


Simplifying
6k2 + 29k + 20 = 0

Reorder the terms:
20 + 29k + 6k2 = 0

Solving
20 + 29k + 6k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(4 + k)(5 + 6k) = 0

Subproblem 1

Set the factor '(4 + k)' equal to zero and attempt to solve: Simplifying 4 + k = 0 Solving 4 + k = 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 + k = 0 + -4 Combine like terms: 4 + -4 = 0 0 + k = 0 + -4 k = 0 + -4 Combine like terms: 0 + -4 = -4 k = -4 Simplifying k = -4

Subproblem 2

Set the factor '(5 + 6k)' equal to zero and attempt to solve: Simplifying 5 + 6k = 0 Solving 5 + 6k = 0 Move all terms containing k to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 6k = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6k = 0 + -5 6k = 0 + -5 Combine like terms: 0 + -5 = -5 6k = -5 Divide each side by '6'. k = -0.8333333333 Simplifying k = -0.8333333333

Solution

k = {-4, -0.8333333333}

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