k^2=-6k-9

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Solution for k^2=-6k-9 equation:


Simplifying
k2 = -6k + -9

Reorder the terms:
k2 = -9 + -6k

Solving
k2 = -9 + -6k

Solving for variable 'k'.

Reorder the terms:
9 + 6k + k2 = -9 + -6k + 9 + 6k

Reorder the terms:
9 + 6k + k2 = -9 + 9 + -6k + 6k

Combine like terms: -9 + 9 = 0
9 + 6k + k2 = 0 + -6k + 6k
9 + 6k + k2 = -6k + 6k

Combine like terms: -6k + 6k = 0
9 + 6k + k2 = 0

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

Subproblem 1

Set the factor '(3 + k)' equal to zero and attempt to solve: Simplifying 3 + k = 0 Solving 3 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + k = 0 + -3 Combine like terms: 3 + -3 = 0 0 + k = 0 + -3 k = 0 + -3 Combine like terms: 0 + -3 = -3 k = -3 Simplifying k = -3

Subproblem 2

Set the factor '(3 + k)' equal to zero and attempt to solve: Simplifying 3 + k = 0 Solving 3 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + k = 0 + -3 Combine like terms: 3 + -3 = 0 0 + k = 0 + -3 k = 0 + -3 Combine like terms: 0 + -3 = -3 k = -3 Simplifying k = -3

Solution

k = {-3, -3}

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