(k+11)(k-5)=0

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Solution for (k+11)(k-5)=0 equation:


Simplifying
(k + 11)(k + -5) = 0

Reorder the terms:
(11 + k)(k + -5) = 0

Reorder the terms:
(11 + k)(-5 + k) = 0

Multiply (11 + k) * (-5 + k)
(11(-5 + k) + k(-5 + k)) = 0
((-5 * 11 + k * 11) + k(-5 + k)) = 0
((-55 + 11k) + k(-5 + k)) = 0
(-55 + 11k + (-5 * k + k * k)) = 0
(-55 + 11k + (-5k + k2)) = 0

Combine like terms: 11k + -5k = 6k
(-55 + 6k + k2) = 0

Solving
-55 + 6k + k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(-11 + -1k)(5 + -1k) = 0

Subproblem 1

Set the factor '(-11 + -1k)' equal to zero and attempt to solve: Simplifying -11 + -1k = 0 Solving -11 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -1k = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1k = 0 + 11 -1k = 0 + 11 Combine like terms: 0 + 11 = 11 -1k = 11 Divide each side by '-1'. k = -11 Simplifying k = -11

Subproblem 2

Set the factor '(5 + -1k)' equal to zero and attempt to solve: Simplifying 5 + -1k = 0 Solving 5 + -1k = 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 + -1k = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1k = 0 + -5 -1k = 0 + -5 Combine like terms: 0 + -5 = -5 -1k = -5 Divide each side by '-1'. k = 5 Simplifying k = 5

Solution

k = {-11, 5}

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