k(k)=-4k-4

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Solution for k(k)=-4k-4 equation:


Simplifying
k(k) = -4k + -4

Multiply k * k
k2 = -4k + -4

Reorder the terms:
k2 = -4 + -4k

Solving
k2 = -4 + -4k

Solving for variable 'k'.

Reorder the terms:
4 + 4k + k2 = -4 + -4k + 4 + 4k

Reorder the terms:
4 + 4k + k2 = -4 + 4 + -4k + 4k

Combine like terms: -4 + 4 = 0
4 + 4k + k2 = 0 + -4k + 4k
4 + 4k + k2 = -4k + 4k

Combine like terms: -4k + 4k = 0
4 + 4k + k2 = 0

Factor a trinomial.
(2 + k)(2 + k) = 0

Subproblem 1

Set the factor '(2 + k)' equal to zero and attempt to solve: Simplifying 2 + k = 0 Solving 2 + k = 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 + k = 0 + -2 Combine like terms: 2 + -2 = 0 0 + k = 0 + -2 k = 0 + -2 Combine like terms: 0 + -2 = -2 k = -2 Simplifying k = -2

Subproblem 2

Set the factor '(2 + k)' equal to zero and attempt to solve: Simplifying 2 + k = 0 Solving 2 + k = 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 + k = 0 + -2 Combine like terms: 2 + -2 = 0 0 + k = 0 + -2 k = 0 + -2 Combine like terms: 0 + -2 = -2 k = -2 Simplifying k = -2

Solution

k = {-2, -2}

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