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Simplifying 2x + 4yi = -18 + 20i Reorder the terms: 4iy + 2x = -18 + 20i Solving 4iy + 2x = -18 + 20i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-20i' to each side of the equation. 4iy + -20i + 2x = -18 + 20i + -20i Reorder the terms: -20i + 4iy + 2x = -18 + 20i + -20i Combine like terms: 20i + -20i = 0 -20i + 4iy + 2x = -18 + 0 -20i + 4iy + 2x = -18 Add '-2x' to each side of the equation. -20i + 4iy + 2x + -2x = -18 + -2x Combine like terms: 2x + -2x = 0 -20i + 4iy + 0 = -18 + -2x -20i + 4iy = -18 + -2x Reorder the terms: 18 + -20i + 4iy + 2x = -18 + -2x + 18 + 2x Reorder the terms: 18 + -20i + 4iy + 2x = -18 + 18 + -2x + 2x Combine like terms: -18 + 18 = 0 18 + -20i + 4iy + 2x = 0 + -2x + 2x 18 + -20i + 4iy + 2x = -2x + 2x Combine like terms: -2x + 2x = 0 18 + -20i + 4iy + 2x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(9 + -10i + 2iy + x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(9 + -10i + 2iy + x)' equal to zero and attempt to solve: Simplifying 9 + -10i + 2iy + x = 0 Solving 9 + -10i + 2iy + x = 0 Move all terms containing i to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -10i + 2iy + -9 + x = 0 + -9 Reorder the terms: 9 + -9 + -10i + 2iy + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -10i + 2iy + x = 0 + -9 -10i + 2iy + x = 0 + -9 Combine like terms: 0 + -9 = -9 -10i + 2iy + x = -9 Add '-1x' to each side of the equation. -10i + 2iy + x + -1x = -9 + -1x Combine like terms: x + -1x = 0 -10i + 2iy + 0 = -9 + -1x -10i + 2iy = -9 + -1x 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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