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Simplifying 35k2 + -22k + 3 = 3 Reorder the terms: 3 + -22k + 35k2 = 3 Add '-3' to each side of the equation. 3 + -22k + -3 + 35k2 = 3 + -3 Reorder the terms: 3 + -3 + -22k + 35k2 = 3 + -3 Combine like terms: 3 + -3 = 0 0 + -22k + 35k2 = 3 + -3 -22k + 35k2 = 3 + -3 Combine like terms: 3 + -3 = 0 -22k + 35k2 = 0 Solving -22k + 35k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), 'k'. k(-22 + 35k) = 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 '(-22 + 35k)' equal to zero and attempt to solve: Simplifying -22 + 35k = 0 Solving -22 + 35k = 0 Move all terms containing k to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 35k = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 35k = 0 + 22 35k = 0 + 22 Combine like terms: 0 + 22 = 22 35k = 22 Divide each side by '35'. k = 0.6285714286 Simplifying k = 0.6285714286Solution
k = {0, 0.6285714286}
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