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Simplifying -3k(8k5 + -7k2) = 0 Reorder the terms: -3k(-7k2 + 8k5) = 0 (-7k2 * -3k + 8k5 * -3k) = 0 (21k3 + -24k6) = 0 Solving 21k3 + -24k6 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '3k3'. 3k3(7 + -8k3) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'k3' equal to zero and attempt to solve: Simplifying k3 = 0 Solving k3 = 0 Move all terms containing k to the left, all other terms to the right. Simplifying k3 = 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 '(7 + -8k3)' equal to zero and attempt to solve: Simplifying 7 + -8k3 = 0 Solving 7 + -8k3 = 0 Move all terms containing k to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -8k3 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -8k3 = 0 + -7 -8k3 = 0 + -7 Combine like terms: 0 + -7 = -7 -8k3 = -7 Divide each side by '-8'. k3 = 0.875 Simplifying k3 = 0.875 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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