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Simplifying 17k2 + -6k + 3 = 3 Reorder the terms: 3 + -6k + 17k2 = 3 Add '-3' to each side of the equation. 3 + -6k + -3 + 17k2 = 3 + -3 Reorder the terms: 3 + -3 + -6k + 17k2 = 3 + -3 Combine like terms: 3 + -3 = 0 0 + -6k + 17k2 = 3 + -3 -6k + 17k2 = 3 + -3 Combine like terms: 3 + -3 = 0 -6k + 17k2 = 0 Solving -6k + 17k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), 'k'. k(-6 + 17k) = 0Subproblem 1
Set the factor 'k' equal to zero and attempt to solve: Simplifying k = 0 Solving k = 0 Move all terms containing k to the left, all other terms to the right. Simplifying k = 0Subproblem 2
Set the factor '(-6 + 17k)' equal to zero and attempt to solve: Simplifying -6 + 17k = 0 Solving -6 + 17k = 0 Move all terms containing k to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 17k = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 17k = 0 + 6 17k = 0 + 6 Combine like terms: 0 + 6 = 6 17k = 6 Divide each side by '17'. k = 0.3529411765 Simplifying k = 0.3529411765Solution
k = {0, 0.3529411765}
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