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Simplifying 0 = 5k2 + -26k + 5 Reorder the terms: 0 = 5 + -26k + 5k2 Solving 0 = 5 + -26k + 5k2 Solving for variable 'k'. Combine like terms: 0 + -5 = -5 -5 + 26k + -5k2 = 5 + -26k + 5k2 + -5 + 26k + -5k2 Reorder the terms: -5 + 26k + -5k2 = 5 + -5 + -26k + 26k + 5k2 + -5k2 Combine like terms: 5 + -5 = 0 -5 + 26k + -5k2 = 0 + -26k + 26k + 5k2 + -5k2 -5 + 26k + -5k2 = -26k + 26k + 5k2 + -5k2 Combine like terms: -26k + 26k = 0 -5 + 26k + -5k2 = 0 + 5k2 + -5k2 -5 + 26k + -5k2 = 5k2 + -5k2 Combine like terms: 5k2 + -5k2 = 0 -5 + 26k + -5k2 = 0 Factor a trinomial. (-5 + k)(1 + -5k) = 0Subproblem 1
Set the factor '(-5 + k)' equal to zero and attempt to solve: Simplifying -5 + k = 0 Solving -5 + k = 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 + k = 0 + 5 Combine like terms: -5 + 5 = 0 0 + k = 0 + 5 k = 0 + 5 Combine like terms: 0 + 5 = 5 k = 5 Simplifying k = 5Subproblem 2
Set the factor '(1 + -5k)' equal to zero and attempt to solve: Simplifying 1 + -5k = 0 Solving 1 + -5k = 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 + -5k = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5k = 0 + -1 -5k = 0 + -1 Combine like terms: 0 + -1 = -1 -5k = -1 Divide each side by '-5'. k = 0.2 Simplifying k = 0.2Solution
k = {5, 0.2}
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