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Simplifying -3x + -2iy = 27 + i Reorder the terms: -2iy + -3x = 27 + i Solving -2iy + -3x = 27 + i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1i' to each side of the equation. -2iy + -1i + -3x = 27 + i + -1i Reorder the terms: -1i + -2iy + -3x = 27 + i + -1i Combine like terms: i + -1i = 0 -1i + -2iy + -3x = 27 + 0 -1i + -2iy + -3x = 27 Add '3x' to each side of the equation. -1i + -2iy + -3x + 3x = 27 + 3x Combine like terms: -3x + 3x = 0 -1i + -2iy + 0 = 27 + 3x -1i + -2iy = 27 + 3x Reorder the terms: -27 + -1i + -2iy + -3x = 27 + 3x + -27 + -3x Reorder the terms: -27 + -1i + -2iy + -3x = 27 + -27 + 3x + -3x Combine like terms: 27 + -27 = 0 -27 + -1i + -2iy + -3x = 0 + 3x + -3x -27 + -1i + -2iy + -3x = 3x + -3x Combine like terms: 3x + -3x = 0 -27 + -1i + -2iy + -3x = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(27 + i + 2iy + 3x) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(27 + i + 2iy + 3x)' equal to zero and attempt to solve: Simplifying 27 + i + 2iy + 3x = 0 Solving 27 + i + 2iy + 3x = 0 Move all terms containing i to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + i + 2iy + -27 + 3x = 0 + -27 Reorder the terms: 27 + -27 + i + 2iy + 3x = 0 + -27 Combine like terms: 27 + -27 = 0 0 + i + 2iy + 3x = 0 + -27 i + 2iy + 3x = 0 + -27 Combine like terms: 0 + -27 = -27 i + 2iy + 3x = -27 Add '-3x' to each side of the equation. i + 2iy + 3x + -3x = -27 + -3x Combine like terms: 3x + -3x = 0 i + 2iy + 0 = -27 + -3x i + 2iy = -27 + -3x 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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