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