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Simplifying (x + -5 + -5i)(x + -5i + 5i) = 0 Reorder the terms: (-5 + -5i + x)(x + -5i + 5i) = 0 Reorder the terms: (-5 + -5i + x)(-5i + 5i + x) = 0 Combine like terms: -5i + 5i = 0 (-5 + -5i + x)(0 + x) = 0 (-5 + -5i + x)(x) = 0 Reorder the terms for easier multiplication: x(-5 + -5i + x) = 0 (-5 * x + -5i * x + x * x) = 0 Reorder the terms: (-5ix + -5x + x2) = 0 (-5ix + -5x + x2) = 0 Solving -5ix + -5x + x2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '5x' to each side of the equation. -5ix + -5x + 5x + x2 = 0 + 5x Combine like terms: -5x + 5x = 0 -5ix + 0 + x2 = 0 + 5x -5ix + x2 = 0 + 5x Remove the zero: -5ix + x2 = 5x Add '-1x2' to each side of the equation. -5ix + x2 + -1x2 = 5x + -1x2 Combine like terms: x2 + -1x2 = 0 -5ix + 0 = 5x + -1x2 -5ix = 5x + -1x2 Divide each side by '-5x'. i = -1 + 0.2x Simplifying i = -1 + 0.2x
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