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Simplifying (1 + 2i) * x + -1(3 + 3i) * y + 5 = 0 Reorder the terms for easier multiplication: x(1 + 2i) + -1(3 + 3i) * y + 5 = 0 (1 * x + 2i * x) + -1(3 + 3i) * y + 5 = 0 Reorder the terms: (2ix + 1x) + -1(3 + 3i) * y + 5 = 0 (2ix + 1x) + -1(3 + 3i) * y + 5 = 0 Reorder the terms for easier multiplication: 2ix + 1x + -1y(3 + 3i) + 5 = 0 2ix + 1x + (3 * -1y + 3i * -1y) + 5 = 0 Reorder the terms: 2ix + 1x + (-3iy + -3y) + 5 = 0 2ix + 1x + (-3iy + -3y) + 5 = 0 Reorder the terms: 5 + 2ix + -3iy + 1x + -3y = 0 Solving 5 + 2ix + -3iy + 1x + -3y = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 2ix + -3iy + 1x + -5 + -3y = 0 + -5 Reorder the terms: 5 + -5 + 2ix + -3iy + 1x + -3y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2ix + -3iy + 1x + -3y = 0 + -5 2ix + -3iy + 1x + -3y = 0 + -5 Combine like terms: 0 + -5 = -5 2ix + -3iy + 1x + -3y = -5 Add '-1x' to each side of the equation. 2ix + -3iy + 1x + -1x + -3y = -5 + -1x Combine like terms: 1x + -1x = 0 2ix + -3iy + 0 + -3y = -5 + -1x 2ix + -3iy + -3y = -5 + -1x Add '3y' to each side of the equation. 2ix + -3iy + -3y + 3y = -5 + -1x + 3y Combine like terms: -3y + 3y = 0 2ix + -3iy + 0 = -5 + -1x + 3y 2ix + -3iy = -5 + -1x + 3y Reorder the terms: 5 + 2ix + -3iy + x + -3y = -5 + -1x + 3y + 5 + x + -3y Reorder the terms: 5 + 2ix + -3iy + x + -3y = -5 + 5 + -1x + x + 3y + -3y Combine like terms: -5 + 5 = 0 5 + 2ix + -3iy + x + -3y = 0 + -1x + x + 3y + -3y 5 + 2ix + -3iy + x + -3y = -1x + x + 3y + -3y Combine like terms: -1x + x = 0 5 + 2ix + -3iy + x + -3y = 0 + 3y + -3y 5 + 2ix + -3iy + x + -3y = 3y + -3y Combine like terms: 3y + -3y = 0 5 + 2ix + -3iy + x + -3y = 0 The solution to this equation could not be determined.
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