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Simplifying -14x + 6iy = 2 + -4i Reorder the terms: 6iy + -14x = 2 + -4i Solving 6iy + -14x = 2 + -4i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '4i' to each side of the equation. 6iy + 4i + -14x = 2 + -4i + 4i Reorder the terms: 4i + 6iy + -14x = 2 + -4i + 4i Combine like terms: -4i + 4i = 0 4i + 6iy + -14x = 2 + 0 4i + 6iy + -14x = 2 Add '14x' to each side of the equation. 4i + 6iy + -14x + 14x = 2 + 14x Combine like terms: -14x + 14x = 0 4i + 6iy + 0 = 2 + 14x 4i + 6iy = 2 + 14x Reorder the terms: -2 + 4i + 6iy + -14x = 2 + 14x + -2 + -14x Reorder the terms: -2 + 4i + 6iy + -14x = 2 + -2 + 14x + -14x Combine like terms: 2 + -2 = 0 -2 + 4i + 6iy + -14x = 0 + 14x + -14x -2 + 4i + 6iy + -14x = 14x + -14x Combine like terms: 14x + -14x = 0 -2 + 4i + 6iy + -14x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + 2i + 3iy + -7x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + 2i + 3iy + -7x)' equal to zero and attempt to solve: Simplifying -1 + 2i + 3iy + -7x = 0 Solving -1 + 2i + 3iy + -7x = 0 Move all terms containing i to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 2i + 3iy + 1 + -7x = 0 + 1 Reorder the terms: -1 + 1 + 2i + 3iy + -7x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2i + 3iy + -7x = 0 + 1 2i + 3iy + -7x = 0 + 1 Combine like terms: 0 + 1 = 1 2i + 3iy + -7x = 1 Add '7x' to each side of the equation. 2i + 3iy + -7x + 7x = 1 + 7x Combine like terms: -7x + 7x = 0 2i + 3iy + 0 = 1 + 7x 2i + 3iy = 1 + 7x 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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