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Simplifying 0 = 7k2 + 9k Reorder the terms: 0 = 9k + 7k2 Solving 0 = 9k + 7k2 Solving for variable 'k'. Remove the zero: -9k + -7k2 = 9k + 7k2 + -9k + -7k2 Reorder the terms: -9k + -7k2 = 9k + -9k + 7k2 + -7k2 Combine like terms: 9k + -9k = 0 -9k + -7k2 = 0 + 7k2 + -7k2 -9k + -7k2 = 7k2 + -7k2 Combine like terms: 7k2 + -7k2 = 0 -9k + -7k2 = 0 Factor out the Greatest Common Factor (GCF), '-1k'. -1k(9 + 7k) = 0 Ignore the factor -1.Subproblem 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 '(9 + 7k)' equal to zero and attempt to solve: Simplifying 9 + 7k = 0 Solving 9 + 7k = 0 Move all terms containing k to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 7k = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 7k = 0 + -9 7k = 0 + -9 Combine like terms: 0 + -9 = -9 7k = -9 Divide each side by '7'. k = -1.285714286 Simplifying k = -1.285714286Solution
k = {0, -1.285714286}
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