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Simplifying 10x + 6yi = 40 + 18i Reorder the terms: 6iy + 10x = 40 + 18i Solving 6iy + 10x = 40 + 18i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-18i' to each side of the equation. 6iy + -18i + 10x = 40 + 18i + -18i Reorder the terms: -18i + 6iy + 10x = 40 + 18i + -18i Combine like terms: 18i + -18i = 0 -18i + 6iy + 10x = 40 + 0 -18i + 6iy + 10x = 40 Add '-10x' to each side of the equation. -18i + 6iy + 10x + -10x = 40 + -10x Combine like terms: 10x + -10x = 0 -18i + 6iy + 0 = 40 + -10x -18i + 6iy = 40 + -10x Reorder the terms: -40 + -18i + 6iy + 10x = 40 + -10x + -40 + 10x Reorder the terms: -40 + -18i + 6iy + 10x = 40 + -40 + -10x + 10x Combine like terms: 40 + -40 = 0 -40 + -18i + 6iy + 10x = 0 + -10x + 10x -40 + -18i + 6iy + 10x = -10x + 10x Combine like terms: -10x + 10x = 0 -40 + -18i + 6iy + 10x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-20 + -9i + 3iy + 5x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-20 + -9i + 3iy + 5x)' equal to zero and attempt to solve: Simplifying -20 + -9i + 3iy + 5x = 0 Solving -20 + -9i + 3iy + 5x = 0 Move all terms containing i to the left, all other terms to the right. Add '20' to each side of the equation. -20 + -9i + 3iy + 20 + 5x = 0 + 20 Reorder the terms: -20 + 20 + -9i + 3iy + 5x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -9i + 3iy + 5x = 0 + 20 -9i + 3iy + 5x = 0 + 20 Combine like terms: 0 + 20 = 20 -9i + 3iy + 5x = 20 Add '-5x' to each side of the equation. -9i + 3iy + 5x + -5x = 20 + -5x Combine like terms: 5x + -5x = 0 -9i + 3iy + 0 = 20 + -5x -9i + 3iy = 20 + -5x 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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