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Simplifying k(n) = n3 + 1findk(-4) Multiply k * n kn = n3 + 1findk(-4) Reorder the terms for easier multiplication: kn = n3 + 1 * -4dfikn Multiply 1 * -4 kn = n3 + -4dfikn Reorder the terms: kn = -4dfikn + n3 Solving kn = -4dfikn + n3 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4dfikn' to each side of the equation. 4dfikn + kn = -4dfikn + 4dfikn + n3 Combine like terms: -4dfikn + 4dfikn = 0 4dfikn + kn = 0 + n3 4dfikn + kn = n3 Combine like terms: n3 + -1n3 = 0 4dfikn + kn + -1n3 = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(4dfik + k + -1n2) = 0Subproblem 1
Set the factor 'n' equal to zero and attempt to solve: Simplifying n = 0 Solving n = 0 Move all terms containing k to the left, all other terms to the right. Add '-1n' to each side of the equation. n + -1n = 0 + -1n Remove the zero: 0 = -1n Simplifying 0 = -1n 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 '(4dfik + k + -1n2)' equal to zero and attempt to solve: Simplifying 4dfik + k + -1n2 = 0 Solving 4dfik + k + -1n2 = 0 Move all terms containing k to the left, all other terms to the right. Add 'n2' to each side of the equation. 4dfik + k + -1n2 + n2 = 0 + n2 Combine like terms: -1n2 + n2 = 0 4dfik + k + 0 = 0 + n2 4dfik + k = 0 + n2 Remove the zero: 4dfik + k = n2 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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