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