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Simplifying 20 + -16i = 4x + 4yi Reorder the terms: 20 + -16i = 4iy + 4x Solving 20 + -16i = 4iy + 4x Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-4iy' to each side of the equation. 20 + -16i + -4iy = 4iy + -4iy + 4x Combine like terms: 4iy + -4iy = 0 20 + -16i + -4iy = 0 + 4x 20 + -16i + -4iy = 4x Add '-20' to each side of the equation. 20 + -16i + -20 + -4iy = -20 + 4x Reorder the terms: 20 + -20 + -16i + -4iy = -20 + 4x Combine like terms: 20 + -20 = 0 0 + -16i + -4iy = -20 + 4x -16i + -4iy = -20 + 4x Reorder the terms: 20 + -16i + -4iy + -4x = -20 + 4x + 20 + -4x Reorder the terms: 20 + -16i + -4iy + -4x = -20 + 20 + 4x + -4x Combine like terms: -20 + 20 = 0 20 + -16i + -4iy + -4x = 0 + 4x + -4x 20 + -16i + -4iy + -4x = 4x + -4x Combine like terms: 4x + -4x = 0 20 + -16i + -4iy + -4x = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(5 + -4i + -1iy + -1x) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(5 + -4i + -1iy + -1x)' equal to zero and attempt to solve: Simplifying 5 + -4i + -1iy + -1x = 0 Solving 5 + -4i + -1iy + -1x = 0 Move all terms containing i to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -4i + -1iy + -5 + -1x = 0 + -5 Reorder the terms: 5 + -5 + -4i + -1iy + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4i + -1iy + -1x = 0 + -5 -4i + -1iy + -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -4i + -1iy + -1x = -5 Add 'x' to each side of the equation. -4i + -1iy + -1x + x = -5 + x Combine like terms: -1x + x = 0 -4i + -1iy + 0 = -5 + x -4i + -1iy = -5 + x 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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