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Simplifying (2k3)(7k4 + 5k2) = 0 Remove parenthesis around (2k3) 2k3(7k4 + 5k2) = 0 Reorder the terms: 2k3(5k2 + 7k4) = 0 (5k2 * 2k3 + 7k4 * 2k3) = 0 (10k5 + 14k7) = 0 Solving 10k5 + 14k7 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '2k5'. 2k5(5 + 7k2) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'k5' equal to zero and attempt to solve: Simplifying k5 = 0 Solving k5 = 0 Move all terms containing k to the left, all other terms to the right. Simplifying k5 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(5 + 7k2)' equal to zero and attempt to solve: Simplifying 5 + 7k2 = 0 Solving 5 + 7k2 = 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 + 7k2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 7k2 = 0 + -5 7k2 = 0 + -5 Combine like terms: 0 + -5 = -5 7k2 = -5 Divide each side by '7'. k2 = -0.7142857143 Simplifying k2 = -0.7142857143 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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