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