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Simplifying -4x + 2yi = 24 + 12i Reorder the terms: 2iy + -4x = 24 + 12i Solving 2iy + -4x = 24 + 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. 2iy + -12i + -4x = 24 + 12i + -12i Reorder the terms: -12i + 2iy + -4x = 24 + 12i + -12i Combine like terms: 12i + -12i = 0 -12i + 2iy + -4x = 24 + 0 -12i + 2iy + -4x = 24 Add '4x' to each side of the equation. -12i + 2iy + -4x + 4x = 24 + 4x Combine like terms: -4x + 4x = 0 -12i + 2iy + 0 = 24 + 4x -12i + 2iy = 24 + 4x Reorder the terms: -24 + -12i + 2iy + -4x = 24 + 4x + -24 + -4x Reorder the terms: -24 + -12i + 2iy + -4x = 24 + -24 + 4x + -4x Combine like terms: 24 + -24 = 0 -24 + -12i + 2iy + -4x = 0 + 4x + -4x -24 + -12i + 2iy + -4x = 4x + -4x Combine like terms: 4x + -4x = 0 -24 + -12i + 2iy + -4x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-12 + -6i + iy + -2x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-12 + -6i + iy + -2x)' equal to zero and attempt to solve: Simplifying -12 + -6i + iy + -2x = 0 Solving -12 + -6i + iy + -2x = 0 Move all terms containing i to the left, all other terms to the right. Add '12' to each side of the equation. -12 + -6i + iy + 12 + -2x = 0 + 12 Reorder the terms: -12 + 12 + -6i + iy + -2x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -6i + iy + -2x = 0 + 12 -6i + iy + -2x = 0 + 12 Combine like terms: 0 + 12 = 12 -6i + iy + -2x = 12 Add '2x' to each side of the equation. -6i + iy + -2x + 2x = 12 + 2x Combine like terms: -2x + 2x = 0 -6i + iy + 0 = 12 + 2x -6i + iy = 12 + 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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