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Simplifying 15 + -14i + 12x = -9 + 10i + 3yi Solving 15 + -14i + 12x = -9 + 10i + 3iy Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-10i' to each side of the equation. 15 + -14i + -10i + 12x = -9 + 10i + -10i + 3iy Combine like terms: -14i + -10i = -24i 15 + -24i + 12x = -9 + 10i + -10i + 3iy Combine like terms: 10i + -10i = 0 15 + -24i + 12x = -9 + 0 + 3iy 15 + -24i + 12x = -9 + 3iy Add '-3iy' to each side of the equation. 15 + -24i + -3iy + 12x = -9 + 3iy + -3iy Combine like terms: 3iy + -3iy = 0 15 + -24i + -3iy + 12x = -9 + 0 15 + -24i + -3iy + 12x = -9 Add '-15' to each side of the equation. 15 + -24i + -3iy + -15 + 12x = -9 + -15 Reorder the terms: 15 + -15 + -24i + -3iy + 12x = -9 + -15 Combine like terms: 15 + -15 = 0 0 + -24i + -3iy + 12x = -9 + -15 -24i + -3iy + 12x = -9 + -15 Combine like terms: -9 + -15 = -24 -24i + -3iy + 12x = -24 Add '-12x' to each side of the equation. -24i + -3iy + 12x + -12x = -24 + -12x Combine like terms: 12x + -12x = 0 -24i + -3iy + 0 = -24 + -12x -24i + -3iy = -24 + -12x Reorder the terms: 24 + -24i + -3iy + 12x = -24 + -12x + 24 + 12x Reorder the terms: 24 + -24i + -3iy + 12x = -24 + 24 + -12x + 12x Combine like terms: -24 + 24 = 0 24 + -24i + -3iy + 12x = 0 + -12x + 12x 24 + -24i + -3iy + 12x = -12x + 12x Combine like terms: -12x + 12x = 0 24 + -24i + -3iy + 12x = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(8 + -8i + -1iy + 4x) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(8 + -8i + -1iy + 4x)' equal to zero and attempt to solve: Simplifying 8 + -8i + -1iy + 4x = 0 Solving 8 + -8i + -1iy + 4x = 0 Move all terms containing i to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8i + -1iy + -8 + 4x = 0 + -8 Reorder the terms: 8 + -8 + -8i + -1iy + 4x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -8i + -1iy + 4x = 0 + -8 -8i + -1iy + 4x = 0 + -8 Combine like terms: 0 + -8 = -8 -8i + -1iy + 4x = -8 Add '-4x' to each side of the equation. -8i + -1iy + 4x + -4x = -8 + -4x Combine like terms: 4x + -4x = 0 -8i + -1iy + 0 = -8 + -4x -8i + -1iy = -8 + -4x 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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