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Simplifying 6x + -3yi = 6 + 15i Reorder the terms: -3iy + 6x = 6 + 15i Solving -3iy + 6x = 6 + 15i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-15i' to each side of the equation. -3iy + -15i + 6x = 6 + 15i + -15i Reorder the terms: -15i + -3iy + 6x = 6 + 15i + -15i Combine like terms: 15i + -15i = 0 -15i + -3iy + 6x = 6 + 0 -15i + -3iy + 6x = 6 Add '-6x' to each side of the equation. -15i + -3iy + 6x + -6x = 6 + -6x Combine like terms: 6x + -6x = 0 -15i + -3iy + 0 = 6 + -6x -15i + -3iy = 6 + -6x Reorder the terms: -6 + -15i + -3iy + 6x = 6 + -6x + -6 + 6x Reorder the terms: -6 + -15i + -3iy + 6x = 6 + -6 + -6x + 6x Combine like terms: 6 + -6 = 0 -6 + -15i + -3iy + 6x = 0 + -6x + 6x -6 + -15i + -3iy + 6x = -6x + 6x Combine like terms: -6x + 6x = 0 -6 + -15i + -3iy + 6x = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-2 + -5i + -1iy + 2x) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-2 + -5i + -1iy + 2x)' equal to zero and attempt to solve: Simplifying -2 + -5i + -1iy + 2x = 0 Solving -2 + -5i + -1iy + 2x = 0 Move all terms containing i to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -5i + -1iy + 2 + 2x = 0 + 2 Reorder the terms: -2 + 2 + -5i + -1iy + 2x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -5i + -1iy + 2x = 0 + 2 -5i + -1iy + 2x = 0 + 2 Combine like terms: 0 + 2 = 2 -5i + -1iy + 2x = 2 Add '-2x' to each side of the equation. -5i + -1iy + 2x + -2x = 2 + -2x Combine like terms: 2x + -2x = 0 -5i + -1iy + 0 = 2 + -2x -5i + -1iy = 2 + -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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