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Simplifying (4x + -2) + (6y + -4) * i = 10 + -8i Reorder the terms: (-2 + 4x) + (6y + -4) * i = 10 + -8i Remove parenthesis around (-2 + 4x) -2 + 4x + (6y + -4) * i = 10 + -8i Reorder the terms: -2 + 4x + (-4 + 6y) * i = 10 + -8i Reorder the terms for easier multiplication: -2 + 4x + i(-4 + 6y) = 10 + -8i -2 + 4x + (-4 * i + 6y * i) = 10 + -8i -2 + 4x + (-4i + 6iy) = 10 + -8i Reorder the terms: -2 + -4i + 6iy + 4x = 10 + -8i Solving -2 + -4i + 6iy + 4x = 10 + -8i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '8i' to each side of the equation. -2 + -4i + 6iy + 8i + 4x = 10 + -8i + 8i Reorder the terms: -2 + -4i + 8i + 6iy + 4x = 10 + -8i + 8i Combine like terms: -4i + 8i = 4i -2 + 4i + 6iy + 4x = 10 + -8i + 8i Combine like terms: -8i + 8i = 0 -2 + 4i + 6iy + 4x = 10 + 0 -2 + 4i + 6iy + 4x = 10 Add '2' to each side of the equation. -2 + 4i + 6iy + 2 + 4x = 10 + 2 Reorder the terms: -2 + 2 + 4i + 6iy + 4x = 10 + 2 Combine like terms: -2 + 2 = 0 0 + 4i + 6iy + 4x = 10 + 2 4i + 6iy + 4x = 10 + 2 Combine like terms: 10 + 2 = 12 4i + 6iy + 4x = 12 Add '-4x' to each side of the equation. 4i + 6iy + 4x + -4x = 12 + -4x Combine like terms: 4x + -4x = 0 4i + 6iy + 0 = 12 + -4x 4i + 6iy = 12 + -4x Reorder the terms: -12 + 4i + 6iy + 4x = 12 + -4x + -12 + 4x Reorder the terms: -12 + 4i + 6iy + 4x = 12 + -12 + -4x + 4x Combine like terms: 12 + -12 = 0 -12 + 4i + 6iy + 4x = 0 + -4x + 4x -12 + 4i + 6iy + 4x = -4x + 4x Combine like terms: -4x + 4x = 0 -12 + 4i + 6iy + 4x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-6 + 2i + 3iy + 2x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-6 + 2i + 3iy + 2x)' equal to zero and attempt to solve: Simplifying -6 + 2i + 3iy + 2x = 0 Solving -6 + 2i + 3iy + 2x = 0 Move all terms containing i to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 2i + 3iy + 6 + 2x = 0 + 6 Reorder the terms: -6 + 6 + 2i + 3iy + 2x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 2i + 3iy + 2x = 0 + 6 2i + 3iy + 2x = 0 + 6 Combine like terms: 0 + 6 = 6 2i + 3iy + 2x = 6 Add '-2x' to each side of the equation. 2i + 3iy + 2x + -2x = 6 + -2x Combine like terms: 2x + -2x = 0 2i + 3iy + 0 = 6 + -2x 2i + 3iy = 6 + -2x 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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