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Simplifying 19 + 8i + 18x = 5 + 12i + 16yi Solving 19 + 8i + 18x = 5 + 12i + 16iy Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-12i' to each side of the equation. 19 + 8i + -12i + 18x = 5 + 12i + -12i + 16iy Combine like terms: 8i + -12i = -4i 19 + -4i + 18x = 5 + 12i + -12i + 16iy Combine like terms: 12i + -12i = 0 19 + -4i + 18x = 5 + 0 + 16iy 19 + -4i + 18x = 5 + 16iy Add '-16iy' to each side of the equation. 19 + -4i + -16iy + 18x = 5 + 16iy + -16iy Combine like terms: 16iy + -16iy = 0 19 + -4i + -16iy + 18x = 5 + 0 19 + -4i + -16iy + 18x = 5 Add '-19' to each side of the equation. 19 + -4i + -16iy + -19 + 18x = 5 + -19 Reorder the terms: 19 + -19 + -4i + -16iy + 18x = 5 + -19 Combine like terms: 19 + -19 = 0 0 + -4i + -16iy + 18x = 5 + -19 -4i + -16iy + 18x = 5 + -19 Combine like terms: 5 + -19 = -14 -4i + -16iy + 18x = -14 Add '-18x' to each side of the equation. -4i + -16iy + 18x + -18x = -14 + -18x Combine like terms: 18x + -18x = 0 -4i + -16iy + 0 = -14 + -18x -4i + -16iy = -14 + -18x Reorder the terms: 14 + -4i + -16iy + 18x = -14 + -18x + 14 + 18x Reorder the terms: 14 + -4i + -16iy + 18x = -14 + 14 + -18x + 18x Combine like terms: -14 + 14 = 0 14 + -4i + -16iy + 18x = 0 + -18x + 18x 14 + -4i + -16iy + 18x = -18x + 18x Combine like terms: -18x + 18x = 0 14 + -4i + -16iy + 18x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(7 + -2i + -8iy + 9x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(7 + -2i + -8iy + 9x)' equal to zero and attempt to solve: Simplifying 7 + -2i + -8iy + 9x = 0 Solving 7 + -2i + -8iy + 9x = 0 Move all terms containing i to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -2i + -8iy + -7 + 9x = 0 + -7 Reorder the terms: 7 + -7 + -2i + -8iy + 9x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2i + -8iy + 9x = 0 + -7 -2i + -8iy + 9x = 0 + -7 Combine like terms: 0 + -7 = -7 -2i + -8iy + 9x = -7 Add '-9x' to each side of the equation. -2i + -8iy + 9x + -9x = -7 + -9x Combine like terms: 9x + -9x = 0 -2i + -8iy + 0 = -7 + -9x -2i + -8iy = -7 + -9x 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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