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Simplifying 2x + -6i = -8 + (20y) * i Reorder the terms: -6i + 2x = -8 + (20y) * i Remove parenthesis around (20y) -6i + 2x = -8 + 20y * i Multiply y * i -6i + 2x = -8 + 20iy Solving -6i + 2x = -8 + 20iy Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-20iy' to each side of the equation. -6i + -20iy + 2x = -8 + 20iy + -20iy Combine like terms: 20iy + -20iy = 0 -6i + -20iy + 2x = -8 + 0 -6i + -20iy + 2x = -8 Add '-2x' to each side of the equation. -6i + -20iy + 2x + -2x = -8 + -2x Combine like terms: 2x + -2x = 0 -6i + -20iy + 0 = -8 + -2x -6i + -20iy = -8 + -2x Reorder the terms: 8 + -6i + -20iy + 2x = -8 + -2x + 8 + 2x Reorder the terms: 8 + -6i + -20iy + 2x = -8 + 8 + -2x + 2x Combine like terms: -8 + 8 = 0 8 + -6i + -20iy + 2x = 0 + -2x + 2x 8 + -6i + -20iy + 2x = -2x + 2x Combine like terms: -2x + 2x = 0 8 + -6i + -20iy + 2x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(4 + -3i + -10iy + x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(4 + -3i + -10iy + x)' equal to zero and attempt to solve: Simplifying 4 + -3i + -10iy + x = 0 Solving 4 + -3i + -10iy + 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 + -3i + -10iy + -4 + x = 0 + -4 Reorder the terms: 4 + -4 + -3i + -10iy + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3i + -10iy + x = 0 + -4 -3i + -10iy + x = 0 + -4 Combine like terms: 0 + -4 = -4 -3i + -10iy + x = -4 Add '-1x' to each side of the equation. -3i + -10iy + x + -1x = -4 + -1x Combine like terms: x + -1x = 0 -3i + -10iy + 0 = -4 + -1x -3i + -10iy = -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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