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Simplifying (x + 5)(2 + 3i) = 0 Reorder the terms: (5 + x)(2 + 3i) = 0 Multiply (5 + x) * (2 + 3i) (5(2 + 3i) + x(2 + 3i)) = 0 ((2 * 5 + 3i * 5) + x(2 + 3i)) = 0 ((10 + 15i) + x(2 + 3i)) = 0 (10 + 15i + (2 * x + 3i * x)) = 0 Reorder the terms: (10 + 15i + (3ix + 2x)) = 0 (10 + 15i + (3ix + 2x)) = 0 (10 + 15i + 3ix + 2x) = 0 Solving 10 + 15i + 3ix + 2x = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 15i + 3ix + -10 + 2x = 0 + -10 Reorder the terms: 10 + -10 + 15i + 3ix + 2x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 15i + 3ix + 2x = 0 + -10 15i + 3ix + 2x = 0 + -10 Combine like terms: 0 + -10 = -10 15i + 3ix + 2x = -10 Add '-2x' to each side of the equation. 15i + 3ix + 2x + -2x = -10 + -2x Combine like terms: 2x + -2x = 0 15i + 3ix + 0 = -10 + -2x 15i + 3ix = -10 + -2x Reorder the terms: 10 + 15i + 3ix + 2x = -10 + -2x + 10 + 2x Reorder the terms: 10 + 15i + 3ix + 2x = -10 + 10 + -2x + 2x Combine like terms: -10 + 10 = 0 10 + 15i + 3ix + 2x = 0 + -2x + 2x 10 + 15i + 3ix + 2x = -2x + 2x Combine like terms: -2x + 2x = 0 10 + 15i + 3ix + 2x = 0 The solution to this equation could not be determined.
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