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Simplifying -3x + -6i = 9 + 5yi Reorder the terms: -6i + -3x = 9 + 5yi Solving -6i + -3x = 9 + 5iy Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-5iy' to each side of the equation. -6i + -5iy + -3x = 9 + 5iy + -5iy Combine like terms: 5iy + -5iy = 0 -6i + -5iy + -3x = 9 + 0 -6i + -5iy + -3x = 9 Add '3x' to each side of the equation. -6i + -5iy + -3x + 3x = 9 + 3x Combine like terms: -3x + 3x = 0 -6i + -5iy + 0 = 9 + 3x -6i + -5iy = 9 + 3x Reorder the terms: -9 + -6i + -5iy + -3x = 9 + 3x + -9 + -3x Reorder the terms: -9 + -6i + -5iy + -3x = 9 + -9 + 3x + -3x Combine like terms: 9 + -9 = 0 -9 + -6i + -5iy + -3x = 0 + 3x + -3x -9 + -6i + -5iy + -3x = 3x + -3x Combine like terms: 3x + -3x = 0 -9 + -6i + -5iy + -3x = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(9 + 6i + 5iy + 3x) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(9 + 6i + 5iy + 3x)' equal to zero and attempt to solve: Simplifying 9 + 6i + 5iy + 3x = 0 Solving 9 + 6i + 5iy + 3x = 0 Move all terms containing i to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 6i + 5iy + -9 + 3x = 0 + -9 Reorder the terms: 9 + -9 + 6i + 5iy + 3x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 6i + 5iy + 3x = 0 + -9 6i + 5iy + 3x = 0 + -9 Combine like terms: 0 + -9 = -9 6i + 5iy + 3x = -9 Add '-3x' to each side of the equation. 6i + 5iy + 3x + -3x = -9 + -3x Combine like terms: 3x + -3x = 0 6i + 5iy + 0 = -9 + -3x 6i + 5iy = -9 + -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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