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Simplifying (2i + 5x)(5x + 3) = 0 Reorder the terms: (2i + 5x)(3 + 5x) = 0 Multiply (2i + 5x) * (3 + 5x) (2i * (3 + 5x) + 5x * (3 + 5x)) = 0 ((3 * 2i + 5x * 2i) + 5x * (3 + 5x)) = 0 ((6i + 10ix) + 5x * (3 + 5x)) = 0 (6i + 10ix + (3 * 5x + 5x * 5x)) = 0 (6i + 10ix + (15x + 25x2)) = 0 (6i + 10ix + 15x + 25x2) = 0 Solving 6i + 10ix + 15x + 25x2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-15x' to each side of the equation. 6i + 10ix + 15x + -15x + 25x2 = 0 + -15x Combine like terms: 15x + -15x = 0 6i + 10ix + 0 + 25x2 = 0 + -15x 6i + 10ix + 25x2 = 0 + -15x Remove the zero: 6i + 10ix + 25x2 = -15x Add '-25x2' to each side of the equation. 6i + 10ix + 25x2 + -25x2 = -15x + -25x2 Combine like terms: 25x2 + -25x2 = 0 6i + 10ix + 0 = -15x + -25x2 6i + 10ix = -15x + -25x2 Reorder the terms: 6i + 10ix + 15x + 25x2 = -15x + 15x + -25x2 + 25x2 Combine like terms: -15x + 15x = 0 6i + 10ix + 15x + 25x2 = 0 + -25x2 + 25x2 6i + 10ix + 15x + 25x2 = -25x2 + 25x2 Combine like terms: -25x2 + 25x2 = 0 6i + 10ix + 15x + 25x2 = 0 The solution to this equation could not be determined.
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