(k+8)(k+4)=0

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Solution for (k+8)(k+4)=0 equation:


Simplifying
(k + 8)(k + 4) = 0

Reorder the terms:
(8 + k)(k + 4) = 0

Reorder the terms:
(8 + k)(4 + k) = 0

Multiply (8 + k) * (4 + k)
(8(4 + k) + k(4 + k)) = 0
((4 * 8 + k * 8) + k(4 + k)) = 0
((32 + 8k) + k(4 + k)) = 0
(32 + 8k + (4 * k + k * k)) = 0
(32 + 8k + (4k + k2)) = 0

Combine like terms: 8k + 4k = 12k
(32 + 12k + k2) = 0

Solving
32 + 12k + k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(8 + k)(4 + k) = 0

Subproblem 1

Set the factor '(8 + k)' equal to zero and attempt to solve: Simplifying 8 + k = 0 Solving 8 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + k = 0 + -8 Combine like terms: 8 + -8 = 0 0 + k = 0 + -8 k = 0 + -8 Combine like terms: 0 + -8 = -8 k = -8 Simplifying k = -8

Subproblem 2

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

Solution

k = {-8, -4}

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