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Simplifying 6yi + 18i = -9x + 27 Reorder the terms: 18i + 6iy = -9x + 27 Reorder the terms: 18i + 6iy = 27 + -9x Solving 18i + 6iy = 27 + -9x Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Reorder the terms: -27 + 18i + 6iy + 9x = 27 + -9x + -27 + 9x Reorder the terms: -27 + 18i + 6iy + 9x = 27 + -27 + -9x + 9x Combine like terms: 27 + -27 = 0 -27 + 18i + 6iy + 9x = 0 + -9x + 9x -27 + 18i + 6iy + 9x = -9x + 9x Combine like terms: -9x + 9x = 0 -27 + 18i + 6iy + 9x = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-9 + 6i + 2iy + 3x) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-9 + 6i + 2iy + 3x)' equal to zero and attempt to solve: Simplifying -9 + 6i + 2iy + 3x = 0 Solving -9 + 6i + 2iy + 3x = 0 Move all terms containing i to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 6i + 2iy + 9 + 3x = 0 + 9 Reorder the terms: -9 + 9 + 6i + 2iy + 3x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 6i + 2iy + 3x = 0 + 9 6i + 2iy + 3x = 0 + 9 Combine like terms: 0 + 9 = 9 6i + 2iy + 3x = 9 Add '-3x' to each side of the equation. 6i + 2iy + 3x + -3x = 9 + -3x Combine like terms: 3x + -3x = 0 6i + 2iy + 0 = 9 + -3x 6i + 2iy = 9 + -3x 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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