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Simplifying (x + -5i)(x + -1(-5)) = 0 Reorder the terms: (-5i + x)(x + -1(-5)) = 0 Multiply -1 * -5 (-5i + x)(x + 5) = 0 Reorder the terms: (-5i + x)(5 + x) = 0 Multiply (-5i + x) * (5 + x) (-5i * (5 + x) + x(5 + x)) = 0 ((5 * -5i + x * -5i) + x(5 + x)) = 0 ((-25i + -5ix) + x(5 + x)) = 0 (-25i + -5ix + (5 * x + x * x)) = 0 (-25i + -5ix + (5x + x2)) = 0 (-25i + -5ix + 5x + x2) = 0 Solving -25i + -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. -25i + -5ix + 5x + -5x + x2 = 0 + -5x Combine like terms: 5x + -5x = 0 -25i + -5ix + 0 + x2 = 0 + -5x -25i + -5ix + x2 = 0 + -5x Remove the zero: -25i + -5ix + x2 = -5x Add '-1x2' to each side of the equation. -25i + -5ix + x2 + -1x2 = -5x + -1x2 Combine like terms: x2 + -1x2 = 0 -25i + -5ix + 0 = -5x + -1x2 -25i + -5ix = -5x + -1x2 Reorder the terms: -25i + -5ix + 5x + x2 = -5x + 5x + -1x2 + x2 Combine like terms: -5x + 5x = 0 -25i + -5ix + 5x + x2 = 0 + -1x2 + x2 -25i + -5ix + 5x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -25i + -5ix + 5x + x2 = 0 The solution to this equation could not be determined.
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