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Simplifying (k + 9)(k + -7) = 0 Reorder the terms: (9 + k)(k + -7) = 0 Reorder the terms: (9 + k)(-7 + k) = 0 Multiply (9 + k) * (-7 + k) (9(-7 + k) + k(-7 + k)) = 0 ((-7 * 9 + k * 9) + k(-7 + k)) = 0 ((-63 + 9k) + k(-7 + k)) = 0 (-63 + 9k + (-7 * k + k * k)) = 0 (-63 + 9k + (-7k + k2)) = 0 Combine like terms: 9k + -7k = 2k (-63 + 2k + k2) = 0 Solving -63 + 2k + k2 = 0 Solving for variable 'k'. Factor a trinomial. (-9 + -1k)(7 + -1k) = 0Subproblem 1
Set the factor '(-9 + -1k)' equal to zero and attempt to solve: Simplifying -9 + -1k = 0 Solving -9 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1k = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1k = 0 + 9 -1k = 0 + 9 Combine like terms: 0 + 9 = 9 -1k = 9 Divide each side by '-1'. k = -9 Simplifying k = -9Subproblem 2
Set the factor '(7 + -1k)' equal to zero and attempt to solve: Simplifying 7 + -1k = 0 Solving 7 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1k = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1k = 0 + -7 -1k = 0 + -7 Combine like terms: 0 + -7 = -7 -1k = -7 Divide each side by '-1'. k = 7 Simplifying k = 7Solution
k = {-9, 7}
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