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Simplifying 8x + -4i = (2y) * i + -16 Reorder the terms: -4i + 8x = (2y) * i + -16 Remove parenthesis around (2y) -4i + 8x = 2y * i + -16 Multiply y * i -4i + 8x = 2iy + -16 Reorder the terms: -4i + 8x = -16 + 2iy Solving -4i + 8x = -16 + 2iy Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2iy' to each side of the equation. -4i + -2iy + 8x = -16 + 2iy + -2iy Combine like terms: 2iy + -2iy = 0 -4i + -2iy + 8x = -16 + 0 -4i + -2iy + 8x = -16 Add '-8x' to each side of the equation. -4i + -2iy + 8x + -8x = -16 + -8x Combine like terms: 8x + -8x = 0 -4i + -2iy + 0 = -16 + -8x -4i + -2iy = -16 + -8x Reorder the terms: 16 + -4i + -2iy + 8x = -16 + -8x + 16 + 8x Reorder the terms: 16 + -4i + -2iy + 8x = -16 + 16 + -8x + 8x Combine like terms: -16 + 16 = 0 16 + -4i + -2iy + 8x = 0 + -8x + 8x 16 + -4i + -2iy + 8x = -8x + 8x Combine like terms: -8x + 8x = 0 16 + -4i + -2iy + 8x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(8 + -2i + -1iy + 4x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(8 + -2i + -1iy + 4x)' equal to zero and attempt to solve: Simplifying 8 + -2i + -1iy + 4x = 0 Solving 8 + -2i + -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 + -2i + -1iy + -8 + 4x = 0 + -8 Reorder the terms: 8 + -8 + -2i + -1iy + 4x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -2i + -1iy + 4x = 0 + -8 -2i + -1iy + 4x = 0 + -8 Combine like terms: 0 + -8 = -8 -2i + -1iy + 4x = -8 Add '-4x' to each side of the equation. -2i + -1iy + 4x + -4x = -8 + -4x Combine like terms: 4x + -4x = 0 -2i + -1iy + 0 = -8 + -4x -2i + -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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