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Simplifying (2x + 7) + -5i = -5 + (4y + 3) * i Reorder the terms: (7 + 2x) + -5i = -5 + (4y + 3) * i Remove parenthesis around (7 + 2x) 7 + 2x + -5i = -5 + (4y + 3) * i Reorder the terms: 7 + -5i + 2x = -5 + (4y + 3) * i Reorder the terms: 7 + -5i + 2x = -5 + (3 + 4y) * i Reorder the terms for easier multiplication: 7 + -5i + 2x = -5 + i(3 + 4y) 7 + -5i + 2x = -5 + (3 * i + 4y * i) 7 + -5i + 2x = -5 + (3i + 4iy) Solving 7 + -5i + 2x = -5 + 3i + 4iy Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-3i' to each side of the equation. 7 + -5i + -3i + 2x = -5 + 3i + -3i + 4iy Combine like terms: -5i + -3i = -8i 7 + -8i + 2x = -5 + 3i + -3i + 4iy Combine like terms: 3i + -3i = 0 7 + -8i + 2x = -5 + 0 + 4iy 7 + -8i + 2x = -5 + 4iy Add '-4iy' to each side of the equation. 7 + -8i + -4iy + 2x = -5 + 4iy + -4iy Combine like terms: 4iy + -4iy = 0 7 + -8i + -4iy + 2x = -5 + 0 7 + -8i + -4iy + 2x = -5 Add '-7' to each side of the equation. 7 + -8i + -4iy + -7 + 2x = -5 + -7 Reorder the terms: 7 + -7 + -8i + -4iy + 2x = -5 + -7 Combine like terms: 7 + -7 = 0 0 + -8i + -4iy + 2x = -5 + -7 -8i + -4iy + 2x = -5 + -7 Combine like terms: -5 + -7 = -12 -8i + -4iy + 2x = -12 Add '-2x' to each side of the equation. -8i + -4iy + 2x + -2x = -12 + -2x Combine like terms: 2x + -2x = 0 -8i + -4iy + 0 = -12 + -2x -8i + -4iy = -12 + -2x Reorder the terms: 12 + -8i + -4iy + 2x = -12 + -2x + 12 + 2x Reorder the terms: 12 + -8i + -4iy + 2x = -12 + 12 + -2x + 2x Combine like terms: -12 + 12 = 0 12 + -8i + -4iy + 2x = 0 + -2x + 2x 12 + -8i + -4iy + 2x = -2x + 2x Combine like terms: -2x + 2x = 0 12 + -8i + -4iy + 2x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(6 + -4i + -2iy + x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(6 + -4i + -2iy + x)' equal to zero and attempt to solve: Simplifying 6 + -4i + -2iy + x = 0 Solving 6 + -4i + -2iy + x = 0 Move all terms containing i to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -4i + -2iy + -6 + x = 0 + -6 Reorder the terms: 6 + -6 + -4i + -2iy + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -4i + -2iy + x = 0 + -6 -4i + -2iy + x = 0 + -6 Combine like terms: 0 + -6 = -6 -4i + -2iy + x = -6 Add '-1x' to each side of the equation. -4i + -2iy + x + -1x = -6 + -1x Combine like terms: x + -1x = 0 -4i + -2iy + 0 = -6 + -1x -4i + -2iy = -6 + -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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