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Simplifying (x + 5 + -5i)(x + 5 + 5i) = 0 Reorder the terms: (5 + -5i + x)(x + 5 + 5i) = 0 Reorder the terms: (5 + -5i + x)(5 + 5i + x) = 0 Multiply (5 + -5i + x) * (5 + 5i + x) (5(5 + 5i + x) + -5i * (5 + 5i + x) + x(5 + 5i + x)) = 0 ((5 * 5 + 5i * 5 + x * 5) + -5i * (5 + 5i + x) + x(5 + 5i + x)) = 0 ((25 + 25i + 5x) + -5i * (5 + 5i + x) + x(5 + 5i + x)) = 0 (25 + 25i + 5x + (5 * -5i + 5i * -5i + x * -5i) + x(5 + 5i + x)) = 0 Reorder the terms: (25 + 25i + 5x + (-25i + -5ix + -25i2) + x(5 + 5i + x)) = 0 (25 + 25i + 5x + (-25i + -5ix + -25i2) + x(5 + 5i + x)) = 0 (25 + 25i + 5x + -25i + -5ix + -25i2 + (5 * x + 5i * x + x * x)) = 0 Reorder the terms: (25 + 25i + 5x + -25i + -5ix + -25i2 + (5ix + 5x + x2)) = 0 (25 + 25i + 5x + -25i + -5ix + -25i2 + (5ix + 5x + x2)) = 0 Reorder the terms: (25 + 25i + -25i + -5ix + 5ix + -25i2 + 5x + 5x + x2) = 0 Combine like terms: 25i + -25i = 0 (25 + 0 + -5ix + 5ix + -25i2 + 5x + 5x + x2) = 0 (25 + -5ix + 5ix + -25i2 + 5x + 5x + x2) = 0 Combine like terms: -5ix + 5ix = 0 (25 + 0 + -25i2 + 5x + 5x + x2) = 0 (25 + -25i2 + 5x + 5x + x2) = 0 Combine like terms: 5x + 5x = 10x (25 + -25i2 + 10x + x2) = 0 Solving 25 + -25i2 + 10x + x2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25i2 + 10x + -25 + x2 = 0 + -25 Reorder the terms: 25 + -25 + -25i2 + 10x + x2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -25i2 + 10x + x2 = 0 + -25 -25i2 + 10x + x2 = 0 + -25 Combine like terms: 0 + -25 = -25 -25i2 + 10x + x2 = -25 Add '-10x' to each side of the equation. -25i2 + 10x + -10x + x2 = -25 + -10x Combine like terms: 10x + -10x = 0 -25i2 + 0 + x2 = -25 + -10x -25i2 + x2 = -25 + -10x Add '-1x2' to each side of the equation. -25i2 + x2 + -1x2 = -25 + -10x + -1x2 Combine like terms: x2 + -1x2 = 0 -25i2 + 0 = -25 + -10x + -1x2 -25i2 = -25 + -10x + -1x2 Divide each side by '-25'. i2 = 1 + 0.4x + 0.04x2 Simplifying i2 = 1 + 0.4x + 0.04x2 Reorder the terms: -1 + i2 + -0.4x + -0.04x2 = 1 + 0.4x + 0.04x2 + -1 + -0.4x + -0.04x2 Reorder the terms: -1 + i2 + -0.4x + -0.04x2 = 1 + -1 + 0.4x + -0.4x + 0.04x2 + -0.04x2 Combine like terms: 1 + -1 = 0 -1 + i2 + -0.4x + -0.04x2 = 0 + 0.4x + -0.4x + 0.04x2 + -0.04x2 -1 + i2 + -0.4x + -0.04x2 = 0.4x + -0.4x + 0.04x2 + -0.04x2 Combine like terms: 0.4x + -0.4x = 0.0 -1 + i2 + -0.4x + -0.04x2 = 0.0 + 0.04x2 + -0.04x2 -1 + i2 + -0.4x + -0.04x2 = 0.04x2 + -0.04x2 Combine like terms: 0.04x2 + -0.04x2 = 0.00 -1 + i2 + -0.4x + -0.04x2 = 0.00 The solution to this equation could not be determined.
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