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Simplifying 15x + 27i = -30 + 9yi Reorder the terms: 27i + 15x = -30 + 9yi Solving 27i + 15x = -30 + 9iy Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-9iy' to each side of the equation. 27i + -9iy + 15x = -30 + 9iy + -9iy Combine like terms: 9iy + -9iy = 0 27i + -9iy + 15x = -30 + 0 27i + -9iy + 15x = -30 Add '-15x' to each side of the equation. 27i + -9iy + 15x + -15x = -30 + -15x Combine like terms: 15x + -15x = 0 27i + -9iy + 0 = -30 + -15x 27i + -9iy = -30 + -15x Reorder the terms: 30 + 27i + -9iy + 15x = -30 + -15x + 30 + 15x Reorder the terms: 30 + 27i + -9iy + 15x = -30 + 30 + -15x + 15x Combine like terms: -30 + 30 = 0 30 + 27i + -9iy + 15x = 0 + -15x + 15x 30 + 27i + -9iy + 15x = -15x + 15x Combine like terms: -15x + 15x = 0 30 + 27i + -9iy + 15x = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(10 + 9i + -3iy + 5x) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(10 + 9i + -3iy + 5x)' equal to zero and attempt to solve: Simplifying 10 + 9i + -3iy + 5x = 0 Solving 10 + 9i + -3iy + 5x = 0 Move all terms containing i to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 9i + -3iy + -10 + 5x = 0 + -10 Reorder the terms: 10 + -10 + 9i + -3iy + 5x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 9i + -3iy + 5x = 0 + -10 9i + -3iy + 5x = 0 + -10 Combine like terms: 0 + -10 = -10 9i + -3iy + 5x = -10 Add '-5x' to each side of the equation. 9i + -3iy + 5x + -5x = -10 + -5x Combine like terms: 5x + -5x = 0 9i + -3iy + 0 = -10 + -5x 9i + -3iy = -10 + -5x 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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