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Simplifying 3x + -24i = -15 + -6yi Reorder the terms: -24i + 3x = -15 + -6yi Solving -24i + 3x = -15 + -6iy Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '6iy' to each side of the equation. -24i + 6iy + 3x = -15 + -6iy + 6iy Combine like terms: -6iy + 6iy = 0 -24i + 6iy + 3x = -15 + 0 -24i + 6iy + 3x = -15 Add '-3x' to each side of the equation. -24i + 6iy + 3x + -3x = -15 + -3x Combine like terms: 3x + -3x = 0 -24i + 6iy + 0 = -15 + -3x -24i + 6iy = -15 + -3x Reorder the terms: 15 + -24i + 6iy + 3x = -15 + -3x + 15 + 3x Reorder the terms: 15 + -24i + 6iy + 3x = -15 + 15 + -3x + 3x Combine like terms: -15 + 15 = 0 15 + -24i + 6iy + 3x = 0 + -3x + 3x 15 + -24i + 6iy + 3x = -3x + 3x Combine like terms: -3x + 3x = 0 15 + -24i + 6iy + 3x = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(5 + -8i + 2iy + x) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(5 + -8i + 2iy + x)' equal to zero and attempt to solve: Simplifying 5 + -8i + 2iy + x = 0 Solving 5 + -8i + 2iy + x = 0 Move all terms containing i to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -8i + 2iy + -5 + x = 0 + -5 Reorder the terms: 5 + -5 + -8i + 2iy + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -8i + 2iy + x = 0 + -5 -8i + 2iy + x = 0 + -5 Combine like terms: 0 + -5 = -5 -8i + 2iy + x = -5 Add '-1x' to each side of the equation. -8i + 2iy + x + -1x = -5 + -1x Combine like terms: x + -1x = 0 -8i + 2iy + 0 = -5 + -1x -8i + 2iy = -5 + -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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