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Simplifying 8x + 8yi = 16 + 24i Reorder the terms: 8iy + 8x = 16 + 24i Solving 8iy + 8x = 16 + 24i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-24i' to each side of the equation. 8iy + -24i + 8x = 16 + 24i + -24i Reorder the terms: -24i + 8iy + 8x = 16 + 24i + -24i Combine like terms: 24i + -24i = 0 -24i + 8iy + 8x = 16 + 0 -24i + 8iy + 8x = 16 Add '-8x' to each side of the equation. -24i + 8iy + 8x + -8x = 16 + -8x Combine like terms: 8x + -8x = 0 -24i + 8iy + 0 = 16 + -8x -24i + 8iy = 16 + -8x Reorder the terms: -16 + -24i + 8iy + 8x = 16 + -8x + -16 + 8x Reorder the terms: -16 + -24i + 8iy + 8x = 16 + -16 + -8x + 8x Combine like terms: 16 + -16 = 0 -16 + -24i + 8iy + 8x = 0 + -8x + 8x -16 + -24i + 8iy + 8x = -8x + 8x Combine like terms: -8x + 8x = 0 -16 + -24i + 8iy + 8x = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(-2 + -3i + iy + x) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(-2 + -3i + iy + x)' equal to zero and attempt to solve: Simplifying -2 + -3i + iy + x = 0 Solving -2 + -3i + iy + x = 0 Move all terms containing i to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -3i + iy + 2 + x = 0 + 2 Reorder the terms: -2 + 2 + -3i + iy + x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3i + iy + x = 0 + 2 -3i + iy + x = 0 + 2 Combine like terms: 0 + 2 = 2 -3i + iy + x = 2 Add '-1x' to each side of the equation. -3i + iy + x + -1x = 2 + -1x Combine like terms: x + -1x = 0 -3i + iy + 0 = 2 + -1x -3i + iy = 2 + -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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