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