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Simplifying 2x + 4yi = 6y + 8i Reorder the terms: 4iy + 2x = 6y + 8i Reorder the terms: 4iy + 2x = 8i + 6y Solving 4iy + 2x = 8i + 6y Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-8i' to each side of the equation. 4iy + -8i + 2x = 8i + -8i + 6y Reorder the terms: -8i + 4iy + 2x = 8i + -8i + 6y Combine like terms: 8i + -8i = 0 -8i + 4iy + 2x = 0 + 6y -8i + 4iy + 2x = 6y Add '-2x' to each side of the equation. -8i + 4iy + 2x + -2x = -2x + 6y Combine like terms: 2x + -2x = 0 -8i + 4iy + 0 = -2x + 6y -8i + 4iy = -2x + 6y Reorder the terms: -8i + 4iy + 2x + -6y = -2x + 2x + 6y + -6y Combine like terms: -2x + 2x = 0 -8i + 4iy + 2x + -6y = 0 + 6y + -6y -8i + 4iy + 2x + -6y = 6y + -6y Combine like terms: 6y + -6y = 0 -8i + 4iy + 2x + -6y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-4i + 2iy + x + -3y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-4i + 2iy + x + -3y)' equal to zero and attempt to solve: Simplifying -4i + 2iy + x + -3y = 0 Solving -4i + 2iy + x + -3y = 0 Move all terms containing i to the left, all other terms to the right. Add '-1x' to each side of the equation. -4i + 2iy + x + -1x + -3y = 0 + -1x Combine like terms: x + -1x = 0 -4i + 2iy + 0 + -3y = 0 + -1x -4i + 2iy + -3y = 0 + -1x Remove the zero: -4i + 2iy + -3y = -1x Add '3y' to each side of the equation. -4i + 2iy + -3y + 3y = -1x + 3y Combine like terms: -3y + 3y = 0 -4i + 2iy + 0 = -1x + 3y -4i + 2iy = -1x + 3y 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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