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Simplifying 3x + 3yi = -9 + -9i Reorder the terms: 3iy + 3x = -9 + -9i Solving 3iy + 3x = -9 + -9i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '9i' to each side of the equation. 3iy + 9i + 3x = -9 + -9i + 9i Reorder the terms: 9i + 3iy + 3x = -9 + -9i + 9i Combine like terms: -9i + 9i = 0 9i + 3iy + 3x = -9 + 0 9i + 3iy + 3x = -9 Add '-3x' to each side of the equation. 9i + 3iy + 3x + -3x = -9 + -3x Combine like terms: 3x + -3x = 0 9i + 3iy + 0 = -9 + -3x 9i + 3iy = -9 + -3x Reorder the terms: 9 + 9i + 3iy + 3x = -9 + -3x + 9 + 3x Reorder the terms: 9 + 9i + 3iy + 3x = -9 + 9 + -3x + 3x Combine like terms: -9 + 9 = 0 9 + 9i + 3iy + 3x = 0 + -3x + 3x 9 + 9i + 3iy + 3x = -3x + 3x Combine like terms: -3x + 3x = 0 9 + 9i + 3iy + 3x = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(3 + 3i + iy + x) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(3 + 3i + iy + x)' equal to zero and attempt to solve: Simplifying 3 + 3i + iy + x = 0 Solving 3 + 3i + iy + x = 0 Move all terms containing i to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 3i + iy + -3 + x = 0 + -3 Reorder the terms: 3 + -3 + 3i + iy + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 3i + iy + x = 0 + -3 3i + iy + x = 0 + -3 Combine like terms: 0 + -3 = -3 3i + iy + x = -3 Add '-1x' to each side of the equation. 3i + iy + x + -1x = -3 + -1x Combine like terms: x + -1x = 0 3i + iy + 0 = -3 + -1x 3i + iy = -3 + -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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