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Simplifying 2i + (9 + 15ni + 4i) + 3ni = 0 Reorder the terms: 2i + (9 + 4i + 15in) + 3ni = 0 Remove parenthesis around (9 + 4i + 15in) 2i + 9 + 4i + 15in + 3ni = 0 Reorder the terms: 9 + 2i + 4i + 15in + 3in = 0 Combine like terms: 2i + 4i = 6i 9 + 6i + 15in + 3in = 0 Combine like terms: 15in + 3in = 18in 9 + 6i + 18in = 0 Solving 9 + 6i + 18in = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 6i + -9 + 18in = 0 + -9 Reorder the terms: 9 + -9 + 6i + 18in = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 6i + 18in = 0 + -9 6i + 18in = 0 + -9 Combine like terms: 0 + -9 = -9 6i + 18in = -9 Reorder the terms: 9 + 6i + 18in = -9 + 9 Combine like terms: -9 + 9 = 0 9 + 6i + 18in = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(3 + 2i + 6in) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(3 + 2i + 6in)' equal to zero and attempt to solve: Simplifying 3 + 2i + 6in = 0 Solving 3 + 2i + 6in = 0 Move all terms containing i to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 2i + -3 + 6in = 0 + -3 Reorder the terms: 3 + -3 + 2i + 6in = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2i + 6in = 0 + -3 2i + 6in = 0 + -3 Combine like terms: 0 + -3 = -3 2i + 6in = -3 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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