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Simplifying 4x + -6yi = -12 + 18i Reorder the terms: -6iy + 4x = -12 + 18i Solving -6iy + 4x = -12 + 18i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-18i' to each side of the equation. -6iy + -18i + 4x = -12 + 18i + -18i Reorder the terms: -18i + -6iy + 4x = -12 + 18i + -18i Combine like terms: 18i + -18i = 0 -18i + -6iy + 4x = -12 + 0 -18i + -6iy + 4x = -12 Add '-4x' to each side of the equation. -18i + -6iy + 4x + -4x = -12 + -4x Combine like terms: 4x + -4x = 0 -18i + -6iy + 0 = -12 + -4x -18i + -6iy = -12 + -4x Reorder the terms: 12 + -18i + -6iy + 4x = -12 + -4x + 12 + 4x Reorder the terms: 12 + -18i + -6iy + 4x = -12 + 12 + -4x + 4x Combine like terms: -12 + 12 = 0 12 + -18i + -6iy + 4x = 0 + -4x + 4x 12 + -18i + -6iy + 4x = -4x + 4x Combine like terms: -4x + 4x = 0 12 + -18i + -6iy + 4x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(6 + -9i + -3iy + 2x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(6 + -9i + -3iy + 2x)' equal to zero and attempt to solve: Simplifying 6 + -9i + -3iy + 2x = 0 Solving 6 + -9i + -3iy + 2x = 0 Move all terms containing i to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -9i + -3iy + -6 + 2x = 0 + -6 Reorder the terms: 6 + -6 + -9i + -3iy + 2x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -9i + -3iy + 2x = 0 + -6 -9i + -3iy + 2x = 0 + -6 Combine like terms: 0 + -6 = -6 -9i + -3iy + 2x = -6 Add '-2x' to each side of the equation. -9i + -3iy + 2x + -2x = -6 + -2x Combine like terms: 2x + -2x = 0 -9i + -3iy + 0 = -6 + -2x -9i + -3iy = -6 + -2x 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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