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