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Simplifying 3x + -9i = -9 + (3y) * i Reorder the terms: -9i + 3x = -9 + (3y) * i Remove parenthesis around (3y) -9i + 3x = -9 + 3y * i Multiply y * i -9i + 3x = -9 + 3iy Solving -9i + 3x = -9 + 3iy Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-3iy' to each side of the equation. -9i + -3iy + 3x = -9 + 3iy + -3iy Combine like terms: 3iy + -3iy = 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 + -1iy + x) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(3 + -3i + -1iy + x)' equal to zero and attempt to solve: Simplifying 3 + -3i + -1iy + x = 0 Solving 3 + -3i + -1iy + 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 + -1iy + -3 + x = 0 + -3 Reorder the terms: 3 + -3 + -3i + -1iy + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -3i + -1iy + x = 0 + -3 -3i + -1iy + x = 0 + -3 Combine like terms: 0 + -3 = -3 -3i + -1iy + x = -3 Add '-1x' to each side of the equation. -3i + -1iy + x + -1x = -3 + -1x Combine like terms: x + -1x = 0 -3i + -1iy + 0 = -3 + -1x -3i + -1iy = -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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