3k^2+20k=-25

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Solution for 3k^2+20k=-25 equation:


Simplifying
3k2 + 20k = -25

Reorder the terms:
20k + 3k2 = -25

Solving
20k + 3k2 = -25

Solving for variable 'k'.

Reorder the terms:
25 + 20k + 3k2 = -25 + 25

Combine like terms: -25 + 25 = 0
25 + 20k + 3k2 = 0

Factor a trinomial.
(5 + k)(5 + 3k) = 0

Subproblem 1

Set the factor '(5 + k)' equal to zero and attempt to solve: Simplifying 5 + k = 0 Solving 5 + k = 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 + k = 0 + -5 Combine like terms: 5 + -5 = 0 0 + k = 0 + -5 k = 0 + -5 Combine like terms: 0 + -5 = -5 k = -5 Simplifying k = -5

Subproblem 2

Set the factor '(5 + 3k)' equal to zero and attempt to solve: Simplifying 5 + 3k = 0 Solving 5 + 3k = 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 + 3k = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3k = 0 + -5 3k = 0 + -5 Combine like terms: 0 + -5 = -5 3k = -5 Divide each side by '3'. k = -1.666666667 Simplifying k = -1.666666667

Solution

k = {-5, -1.666666667}

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