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Simplifying 2 + -10i + 5x = 17 + -5yi Solving 2 + -10i + 5x = 17 + -5iy Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '5iy' to each side of the equation. 2 + -10i + 5iy + 5x = 17 + -5iy + 5iy Combine like terms: -5iy + 5iy = 0 2 + -10i + 5iy + 5x = 17 + 0 2 + -10i + 5iy + 5x = 17 Add '-2' to each side of the equation. 2 + -10i + 5iy + -2 + 5x = 17 + -2 Reorder the terms: 2 + -2 + -10i + 5iy + 5x = 17 + -2 Combine like terms: 2 + -2 = 0 0 + -10i + 5iy + 5x = 17 + -2 -10i + 5iy + 5x = 17 + -2 Combine like terms: 17 + -2 = 15 -10i + 5iy + 5x = 15 Add '-5x' to each side of the equation. -10i + 5iy + 5x + -5x = 15 + -5x Combine like terms: 5x + -5x = 0 -10i + 5iy + 0 = 15 + -5x -10i + 5iy = 15 + -5x Reorder the terms: -15 + -10i + 5iy + 5x = 15 + -5x + -15 + 5x Reorder the terms: -15 + -10i + 5iy + 5x = 15 + -15 + -5x + 5x Combine like terms: 15 + -15 = 0 -15 + -10i + 5iy + 5x = 0 + -5x + 5x -15 + -10i + 5iy + 5x = -5x + 5x Combine like terms: -5x + 5x = 0 -15 + -10i + 5iy + 5x = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-3 + -2i + iy + x) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-3 + -2i + iy + x)' equal to zero and attempt to solve: Simplifying -3 + -2i + iy + x = 0 Solving -3 + -2i + iy + x = 0 Move all terms containing i to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -2i + iy + 3 + x = 0 + 3 Reorder the terms: -3 + 3 + -2i + iy + x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2i + iy + x = 0 + 3 -2i + iy + x = 0 + 3 Combine like terms: 0 + 3 = 3 -2i + iy + x = 3 Add '-1x' to each side of the equation. -2i + iy + x + -1x = 3 + -1x Combine like terms: x + -1x = 0 -2i + iy + 0 = 3 + -1x -2i + iy = 3 + -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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