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Simplifying 30k + -25k2 = 9 Solving 30k + -25k2 = 9 Solving for variable 'k'. Reorder the terms: -9 + 30k + -25k2 = 9 + -9 Combine like terms: 9 + -9 = 0 -9 + 30k + -25k2 = 0 Factor a trinomial. (-3 + 5k)(3 + -5k) = 0Subproblem 1
Set the factor '(-3 + 5k)' equal to zero and attempt to solve: Simplifying -3 + 5k = 0 Solving -3 + 5k = 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 + 5k = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 5k = 0 + 3 5k = 0 + 3 Combine like terms: 0 + 3 = 3 5k = 3 Divide each side by '5'. k = 0.6 Simplifying k = 0.6Subproblem 2
Set the factor '(3 + -5k)' equal to zero and attempt to solve: Simplifying 3 + -5k = 0 Solving 3 + -5k = 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 + -5k = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5k = 0 + -3 -5k = 0 + -3 Combine like terms: 0 + -3 = -3 -5k = -3 Divide each side by '-5'. k = 0.6 Simplifying k = 0.6Solution
k = {0.6, 0.6}
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