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