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