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Simplifying 12x + 3yi = 12i Reorder the terms: 3iy + 12x = 12i Solving 3iy + 12x = 12i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-12i' to each side of the equation. 3iy + -12i + 12x = 12i + -12i Reorder the terms: -12i + 3iy + 12x = 12i + -12i Combine like terms: 12i + -12i = 0 -12i + 3iy + 12x = 0 Add '-12x' to each side of the equation. -12i + 3iy + 12x + -12x = 0 + -12x Combine like terms: 12x + -12x = 0 -12i + 3iy + 0 = 0 + -12x -12i + 3iy = 0 + -12x Remove the zero: -12i + 3iy = -12x Combine like terms: -12x + 12x = 0 -12i + 3iy + 12x = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-4i + iy + 4x) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-4i + iy + 4x)' equal to zero and attempt to solve: Simplifying -4i + iy + 4x = 0 Solving -4i + iy + 4x = 0 Move all terms containing i to the left, all other terms to the right. Add '-4x' to each side of the equation. -4i + iy + 4x + -4x = 0 + -4x Combine like terms: 4x + -4x = 0 -4i + iy + 0 = 0 + -4x -4i + iy = 0 + -4x Remove the zero: -4i + iy = -4x 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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