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Simplifying (k + -7)(k + -8) = 0 Reorder the terms: (-7 + k)(k + -8) = 0 Reorder the terms: (-7 + k)(-8 + k) = 0 Multiply (-7 + k) * (-8 + k) (-7(-8 + k) + k(-8 + k)) = 0 ((-8 * -7 + k * -7) + k(-8 + k)) = 0 ((56 + -7k) + k(-8 + k)) = 0 (56 + -7k + (-8 * k + k * k)) = 0 (56 + -7k + (-8k + k2)) = 0 Combine like terms: -7k + -8k = -15k (56 + -15k + k2) = 0 Solving 56 + -15k + k2 = 0 Solving for variable 'k'. Factor a trinomial. (7 + -1k)(8 + -1k) = 0Subproblem 1
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 = 7Subproblem 2
Set the factor '(8 + -1k)' equal to zero and attempt to solve: Simplifying 8 + -1k = 0 Solving 8 + -1k = 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 + -1k = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1k = 0 + -8 -1k = 0 + -8 Combine like terms: 0 + -8 = -8 -1k = -8 Divide each side by '-1'. k = 8 Simplifying k = 8Solution
k = {7, 8}
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