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Simplifying k2 = -7k + 8 Reorder the terms: k2 = 8 + -7k Solving k2 = 8 + -7k Solving for variable 'k'. Reorder the terms: -8 + 7k + k2 = 8 + -7k + -8 + 7k Reorder the terms: -8 + 7k + k2 = 8 + -8 + -7k + 7k Combine like terms: 8 + -8 = 0 -8 + 7k + k2 = 0 + -7k + 7k -8 + 7k + k2 = -7k + 7k Combine like terms: -7k + 7k = 0 -8 + 7k + k2 = 0 Factor a trinomial. (-8 + -1k)(1 + -1k) = 0Subproblem 1
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 = -8Subproblem 2
Set the factor '(1 + -1k)' equal to zero and attempt to solve: Simplifying 1 + -1k = 0 Solving 1 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1k = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1k = 0 + -1 -1k = 0 + -1 Combine like terms: 0 + -1 = -1 -1k = -1 Divide each side by '-1'. k = 1 Simplifying k = 1Solution
k = {-8, 1}
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