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Simplifying -2x + -40i = -6 + 10yi Reorder the terms: -40i + -2x = -6 + 10yi Solving -40i + -2x = -6 + 10iy Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-10iy' to each side of the equation. -40i + -10iy + -2x = -6 + 10iy + -10iy Combine like terms: 10iy + -10iy = 0 -40i + -10iy + -2x = -6 + 0 -40i + -10iy + -2x = -6 Add '2x' to each side of the equation. -40i + -10iy + -2x + 2x = -6 + 2x Combine like terms: -2x + 2x = 0 -40i + -10iy + 0 = -6 + 2x -40i + -10iy = -6 + 2x Reorder the terms: 6 + -40i + -10iy + -2x = -6 + 2x + 6 + -2x Reorder the terms: 6 + -40i + -10iy + -2x = -6 + 6 + 2x + -2x Combine like terms: -6 + 6 = 0 6 + -40i + -10iy + -2x = 0 + 2x + -2x 6 + -40i + -10iy + -2x = 2x + -2x Combine like terms: 2x + -2x = 0 6 + -40i + -10iy + -2x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(3 + -20i + -5iy + -1x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3 + -20i + -5iy + -1x)' equal to zero and attempt to solve: Simplifying 3 + -20i + -5iy + -1x = 0 Solving 3 + -20i + -5iy + -1x = 0 Move all terms containing i to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -20i + -5iy + -3 + -1x = 0 + -3 Reorder the terms: 3 + -3 + -20i + -5iy + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -20i + -5iy + -1x = 0 + -3 -20i + -5iy + -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -20i + -5iy + -1x = -3 Add 'x' to each side of the equation. -20i + -5iy + -1x + x = -3 + x Combine like terms: -1x + x = 0 -20i + -5iy + 0 = -3 + x -20i + -5iy = -3 + x 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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