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Simplifying 9x + -18i = -36 + 6yi Reorder the terms: -18i + 9x = -36 + 6yi Solving -18i + 9x = -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. -18i + -6iy + 9x = -36 + 6iy + -6iy Combine like terms: 6iy + -6iy = 0 -18i + -6iy + 9x = -36 + 0 -18i + -6iy + 9x = -36 Add '-9x' to each side of the equation. -18i + -6iy + 9x + -9x = -36 + -9x Combine like terms: 9x + -9x = 0 -18i + -6iy + 0 = -36 + -9x -18i + -6iy = -36 + -9x Reorder the terms: 36 + -18i + -6iy + 9x = -36 + -9x + 36 + 9x Reorder the terms: 36 + -18i + -6iy + 9x = -36 + 36 + -9x + 9x Combine like terms: -36 + 36 = 0 36 + -18i + -6iy + 9x = 0 + -9x + 9x 36 + -18i + -6iy + 9x = -9x + 9x Combine like terms: -9x + 9x = 0 36 + -18i + -6iy + 9x = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(12 + -6i + -2iy + 3x) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(12 + -6i + -2iy + 3x)' equal to zero and attempt to solve: Simplifying 12 + -6i + -2iy + 3x = 0 Solving 12 + -6i + -2iy + 3x = 0 Move all terms containing i to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -6i + -2iy + -12 + 3x = 0 + -12 Reorder the terms: 12 + -12 + -6i + -2iy + 3x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -6i + -2iy + 3x = 0 + -12 -6i + -2iy + 3x = 0 + -12 Combine like terms: 0 + -12 = -12 -6i + -2iy + 3x = -12 Add '-3x' to each side of the equation. -6i + -2iy + 3x + -3x = -12 + -3x Combine like terms: 3x + -3x = 0 -6i + -2iy + 0 = -12 + -3x -6i + -2iy = -12 + -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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