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Simplifying 100k10 + 20k5 + 1 = 0 Reorder the terms: 1 + 20k5 + 100k10 = 0 Solving 1 + 20k5 + 100k10 = 0 Solving for variable 'k'. Factor a trinomial. (1 + 10k5)(1 + 10k5) = 0Subproblem 1
Set the factor '(1 + 10k5)' equal to zero and attempt to solve: Simplifying 1 + 10k5 = 0 Solving 1 + 10k5 = 0 Move all terms containing k to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 10k5 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 10k5 = 0 + -1 10k5 = 0 + -1 Combine like terms: 0 + -1 = -1 10k5 = -1 Divide each side by '10'. k5 = -0.1 Simplifying k5 = -0.1 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 '(1 + 10k5)' equal to zero and attempt to solve: Simplifying 1 + 10k5 = 0 Solving 1 + 10k5 = 0 Move all terms containing k to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 10k5 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 10k5 = 0 + -1 10k5 = 0 + -1 Combine like terms: 0 + -1 = -1 10k5 = -1 Divide each side by '10'. k5 = -0.1 Simplifying k5 = -0.1 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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