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Simplifying 9 + -18i = -36 + 6yi Solving 9 + -18i = -36 + 6iy Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-6iy' to each side of the equation. 9 + -18i + -6iy = -36 + 6iy + -6iy Combine like terms: 6iy + -6iy = 0 9 + -18i + -6iy = -36 + 0 9 + -18i + -6iy = -36 Add '-9' to each side of the equation. 9 + -18i + -9 + -6iy = -36 + -9 Reorder the terms: 9 + -9 + -18i + -6iy = -36 + -9 Combine like terms: 9 + -9 = 0 0 + -18i + -6iy = -36 + -9 -18i + -6iy = -36 + -9 Combine like terms: -36 + -9 = -45 -18i + -6iy = -45 Reorder the terms: 45 + -18i + -6iy = -45 + 45 Combine like terms: -45 + 45 = 0 45 + -18i + -6iy = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(15 + -6i + -2iy) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(15 + -6i + -2iy)' equal to zero and attempt to solve: Simplifying 15 + -6i + -2iy = 0 Solving 15 + -6i + -2iy = 0 Move all terms containing i to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -6i + -15 + -2iy = 0 + -15 Reorder the terms: 15 + -15 + -6i + -2iy = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -6i + -2iy = 0 + -15 -6i + -2iy = 0 + -15 Combine like terms: 0 + -15 = -15 -6i + -2iy = -15 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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