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Simplifying 4x + 8i = 20 + 2yi Reorder the terms: 8i + 4x = 20 + 2yi Solving 8i + 4x = 20 + 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. 8i + -2iy + 4x = 20 + 2iy + -2iy Combine like terms: 2iy + -2iy = 0 8i + -2iy + 4x = 20 + 0 8i + -2iy + 4x = 20 Add '-4x' to each side of the equation. 8i + -2iy + 4x + -4x = 20 + -4x Combine like terms: 4x + -4x = 0 8i + -2iy + 0 = 20 + -4x 8i + -2iy = 20 + -4x Reorder the terms: -20 + 8i + -2iy + 4x = 20 + -4x + -20 + 4x Reorder the terms: -20 + 8i + -2iy + 4x = 20 + -20 + -4x + 4x Combine like terms: 20 + -20 = 0 -20 + 8i + -2iy + 4x = 0 + -4x + 4x -20 + 8i + -2iy + 4x = -4x + 4x Combine like terms: -4x + 4x = 0 -20 + 8i + -2iy + 4x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-10 + 4i + -1iy + 2x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-10 + 4i + -1iy + 2x)' equal to zero and attempt to solve: Simplifying -10 + 4i + -1iy + 2x = 0 Solving -10 + 4i + -1iy + 2x = 0 Move all terms containing i to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 4i + -1iy + 10 + 2x = 0 + 10 Reorder the terms: -10 + 10 + 4i + -1iy + 2x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 4i + -1iy + 2x = 0 + 10 4i + -1iy + 2x = 0 + 10 Combine like terms: 0 + 10 = 10 4i + -1iy + 2x = 10 Add '-2x' to each side of the equation. 4i + -1iy + 2x + -2x = 10 + -2x Combine like terms: 2x + -2x = 0 4i + -1iy + 0 = 10 + -2x 4i + -1iy = 10 + -2x 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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