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Simplifying 20x + -20i = 8 + -1(4y) * i Reorder the terms: -20i + 20x = 8 + -1(4y) * i Remove parenthesis around (4y) -20i + 20x = 8 + -1 * 4y * i Multiply -1 * 4 -20i + 20x = 8 + -4y * i Multiply y * i -20i + 20x = 8 + -4iy Solving -20i + 20x = 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 + 20x = 8 + -4iy + 4iy Combine like terms: -4iy + 4iy = 0 -20i + 4iy + 20x = 8 + 0 -20i + 4iy + 20x = 8 Add '-20x' to each side of the equation. -20i + 4iy + 20x + -20x = 8 + -20x Combine like terms: 20x + -20x = 0 -20i + 4iy + 0 = 8 + -20x -20i + 4iy = 8 + -20x Reorder the terms: -8 + -20i + 4iy + 20x = 8 + -20x + -8 + 20x Reorder the terms: -8 + -20i + 4iy + 20x = 8 + -8 + -20x + 20x Combine like terms: 8 + -8 = 0 -8 + -20i + 4iy + 20x = 0 + -20x + 20x -8 + -20i + 4iy + 20x = -20x + 20x Combine like terms: -20x + 20x = 0 -8 + -20i + 4iy + 20x = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-2 + -5i + iy + 5x) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-2 + -5i + iy + 5x)' equal to zero and attempt to solve: Simplifying -2 + -5i + iy + 5x = 0 Solving -2 + -5i + iy + 5x = 0 Move all terms containing i to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -5i + iy + 2 + 5x = 0 + 2 Reorder the terms: -2 + 2 + -5i + iy + 5x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -5i + iy + 5x = 0 + 2 -5i + iy + 5x = 0 + 2 Combine like terms: 0 + 2 = 2 -5i + iy + 5x = 2 Add '-5x' to each side of the equation. -5i + iy + 5x + -5x = 2 + -5x Combine like terms: 5x + -5x = 0 -5i + iy + 0 = 2 + -5x -5i + iy = 2 + -5x 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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