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Simplifying 7k2 + -43k + 15 = -5k Reorder the terms: 15 + -43k + 7k2 = -5k Solving 15 + -43k + 7k2 = -5k Solving for variable 'k'. Reorder the terms: 15 + -43k + 5k + 7k2 = -5k + 5k Combine like terms: -43k + 5k = -38k 15 + -38k + 7k2 = -5k + 5k Combine like terms: -5k + 5k = 0 15 + -38k + 7k2 = 0 Factor a trinomial. (3 + -7k)(5 + -1k) = 0Subproblem 1
Set the factor '(3 + -7k)' equal to zero and attempt to solve: Simplifying 3 + -7k = 0 Solving 3 + -7k = 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 + -7k = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7k = 0 + -3 -7k = 0 + -3 Combine like terms: 0 + -3 = -3 -7k = -3 Divide each side by '-7'. k = 0.4285714286 Simplifying k = 0.4285714286Subproblem 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 = 5Solution
k = {0.4285714286, 5}
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