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Simplifying 5x + 4 + (3 + 2y) * i = 2x + 1(y + -6) * i Reorder the terms for easier multiplication: 5x + 4 + i(3 + 2y) = 2x + 1(y + -6) * i 5x + 4 + (3 * i + 2y * i) = 2x + 1(y + -6) * i 5x + 4 + (3i + 2iy) = 2x + 1(y + -6) * i Reorder the terms: 4 + 3i + 2iy + 5x = 2x + 1(y + -6) * i Reorder the terms: 4 + 3i + 2iy + 5x = 2x + 1(-6 + y) * i Reorder the terms for easier multiplication: 4 + 3i + 2iy + 5x = 2x + 1i(-6 + y) 4 + 3i + 2iy + 5x = 2x + (-6 * 1i + y * 1i) 4 + 3i + 2iy + 5x = 2x + (-6i + 1iy) Reorder the terms: 4 + 3i + 2iy + 5x = -6i + 1iy + 2x Solving 4 + 3i + 2iy + 5x = -6i + 1iy + 2x Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '6i' to each side of the equation. 4 + 3i + 2iy + 6i + 5x = -6i + 1iy + 6i + 2x Reorder the terms: 4 + 3i + 6i + 2iy + 5x = -6i + 1iy + 6i + 2x Combine like terms: 3i + 6i = 9i 4 + 9i + 2iy + 5x = -6i + 1iy + 6i + 2x Reorder the terms: 4 + 9i + 2iy + 5x = -6i + 6i + 1iy + 2x Combine like terms: -6i + 6i = 0 4 + 9i + 2iy + 5x = 0 + 1iy + 2x 4 + 9i + 2iy + 5x = 1iy + 2x Add '-1iy' to each side of the equation. 4 + 9i + 2iy + -1iy + 5x = 1iy + -1iy + 2x Combine like terms: 2iy + -1iy = 1iy 4 + 9i + 1iy + 5x = 1iy + -1iy + 2x Combine like terms: 1iy + -1iy = 0 4 + 9i + 1iy + 5x = 0 + 2x 4 + 9i + 1iy + 5x = 2x Add '-4' to each side of the equation. 4 + 9i + 1iy + -4 + 5x = -4 + 2x Reorder the terms: 4 + -4 + 9i + 1iy + 5x = -4 + 2x Combine like terms: 4 + -4 = 0 0 + 9i + 1iy + 5x = -4 + 2x 9i + 1iy + 5x = -4 + 2x Add '-5x' to each side of the equation. 9i + 1iy + 5x + -5x = -4 + 2x + -5x Combine like terms: 5x + -5x = 0 9i + 1iy + 0 = -4 + 2x + -5x 9i + 1iy = -4 + 2x + -5x Combine like terms: 2x + -5x = -3x 9i + 1iy = -4 + -3x Reorder the terms: 4 + 9i + 1iy + 3x = -4 + -3x + 4 + 3x Reorder the terms: 4 + 9i + 1iy + 3x = -4 + 4 + -3x + 3x Combine like terms: -4 + 4 = 0 4 + 9i + 1iy + 3x = 0 + -3x + 3x 4 + 9i + 1iy + 3x = -3x + 3x Combine like terms: -3x + 3x = 0 4 + 9i + 1iy + 3x = 0 The solution to this equation could not be determined.
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