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Simplifying 6x + 4yi = 36 + -36i Reorder the terms: 4iy + 6x = 36 + -36i Solving 4iy + 6x = 36 + -36i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '36i' to each side of the equation. 4iy + 36i + 6x = 36 + -36i + 36i Reorder the terms: 36i + 4iy + 6x = 36 + -36i + 36i Combine like terms: -36i + 36i = 0 36i + 4iy + 6x = 36 + 0 36i + 4iy + 6x = 36 Add '-6x' to each side of the equation. 36i + 4iy + 6x + -6x = 36 + -6x Combine like terms: 6x + -6x = 0 36i + 4iy + 0 = 36 + -6x 36i + 4iy = 36 + -6x Reorder the terms: -36 + 36i + 4iy + 6x = 36 + -6x + -36 + 6x Reorder the terms: -36 + 36i + 4iy + 6x = 36 + -36 + -6x + 6x Combine like terms: 36 + -36 = 0 -36 + 36i + 4iy + 6x = 0 + -6x + 6x -36 + 36i + 4iy + 6x = -6x + 6x Combine like terms: -6x + 6x = 0 -36 + 36i + 4iy + 6x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-18 + 18i + 2iy + 3x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-18 + 18i + 2iy + 3x)' equal to zero and attempt to solve: Simplifying -18 + 18i + 2iy + 3x = 0 Solving -18 + 18i + 2iy + 3x = 0 Move all terms containing i to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18i + 2iy + 18 + 3x = 0 + 18 Reorder the terms: -18 + 18 + 18i + 2iy + 3x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 18i + 2iy + 3x = 0 + 18 18i + 2iy + 3x = 0 + 18 Combine like terms: 0 + 18 = 18 18i + 2iy + 3x = 18 Add '-3x' to each side of the equation. 18i + 2iy + 3x + -3x = 18 + -3x Combine like terms: 3x + -3x = 0 18i + 2iy + 0 = 18 + -3x 18i + 2iy = 18 + -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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