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Simplifying 4 + 2i = 16x + 4yi Reorder the terms: 4 + 2i = 4iy + 16x Solving 4 + 2i = 4iy + 16x 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. 4 + 2i + -4iy = 4iy + -4iy + 16x Combine like terms: 4iy + -4iy = 0 4 + 2i + -4iy = 0 + 16x 4 + 2i + -4iy = 16x Add '-4' to each side of the equation. 4 + 2i + -4 + -4iy = -4 + 16x Reorder the terms: 4 + -4 + 2i + -4iy = -4 + 16x Combine like terms: 4 + -4 = 0 0 + 2i + -4iy = -4 + 16x 2i + -4iy = -4 + 16x Reorder the terms: 4 + 2i + -4iy + -16x = -4 + 16x + 4 + -16x Reorder the terms: 4 + 2i + -4iy + -16x = -4 + 4 + 16x + -16x Combine like terms: -4 + 4 = 0 4 + 2i + -4iy + -16x = 0 + 16x + -16x 4 + 2i + -4iy + -16x = 16x + -16x Combine like terms: 16x + -16x = 0 4 + 2i + -4iy + -16x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(2 + i + -2iy + -8x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2 + i + -2iy + -8x)' equal to zero and attempt to solve: Simplifying 2 + i + -2iy + -8x = 0 Solving 2 + i + -2iy + -8x = 0 Move all terms containing i to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + i + -2iy + -2 + -8x = 0 + -2 Reorder the terms: 2 + -2 + i + -2iy + -8x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + i + -2iy + -8x = 0 + -2 i + -2iy + -8x = 0 + -2 Combine like terms: 0 + -2 = -2 i + -2iy + -8x = -2 Add '8x' to each side of the equation. i + -2iy + -8x + 8x = -2 + 8x Combine like terms: -8x + 8x = 0 i + -2iy + 0 = -2 + 8x i + -2iy = -2 + 8x 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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