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Simplifying (3 + -1n) * i = -3i Reorder the terms for easier multiplication: i(3 + -1n) = -3i (3 * i + -1n * i) = -3i (3i + -1in) = -3i Solving 3i + -1in = -3i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '3i' to each side of the equation. 3i + 3i + -1in = -3i + 3i Combine like terms: 3i + 3i = 6i 6i + -1in = -3i + 3i Combine like terms: -3i + 3i = 0 6i + -1in = 0 Factor out the Greatest Common Factor (GCF), 'i'. i(6 + -1n) = 0Subproblem 1
Set the factor 'i' equal to zero and attempt to solve: Simplifying i = 0 Solving i = 0 Move all terms containing i to the left, all other terms to the right. Simplifying i = 0Subproblem 2
Set the factor '(6 + -1n)' equal to zero and attempt to solve: Simplifying 6 + -1n = 0 Solving 6 + -1n = 0 Move all terms containing i to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1n = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1n = 0 + -6 -1n = 0 + -6 Combine like terms: 0 + -6 = -6 -1n = -6 Add 'n' to each side of the equation. -1n + n = -6 + n Combine like terms: -1n + n = 0 0 = -6 + n Simplifying 0 = -6 + n The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
i = {0}
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