(k-5)(k+3)=0

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Solution for (k-5)(k+3)=0 equation:


Simplifying
(k + -5)(k + 3) = 0

Reorder the terms:
(-5 + k)(k + 3) = 0

Reorder the terms:
(-5 + k)(3 + k) = 0

Multiply (-5 + k) * (3 + k)
(-5(3 + k) + k(3 + k)) = 0
((3 * -5 + k * -5) + k(3 + k)) = 0
((-15 + -5k) + k(3 + k)) = 0
(-15 + -5k + (3 * k + k * k)) = 0
(-15 + -5k + (3k + k2)) = 0

Combine like terms: -5k + 3k = -2k
(-15 + -2k + k2) = 0

Solving
-15 + -2k + k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(-3 + -1k)(5 + -1k) = 0

Subproblem 1

Set the factor '(-3 + -1k)' equal to zero and attempt to solve: Simplifying -3 + -1k = 0 Solving -3 + -1k = 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 + -1k = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1k = 0 + 3 -1k = 0 + 3 Combine like terms: 0 + 3 = 3 -1k = 3 Divide each side by '-1'. k = -3 Simplifying k = -3

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 = {-3, 5}

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