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Simplifying (x + -2 + 5i)(x + 2 + 5i) = 0 Reorder the terms: (-2 + 5i + x)(x + 2 + 5i) = 0 Reorder the terms: (-2 + 5i + x)(2 + 5i + x) = 0 Multiply (-2 + 5i + x) * (2 + 5i + x) (-2(2 + 5i + x) + 5i * (2 + 5i + x) + x(2 + 5i + x)) = 0 ((2 * -2 + 5i * -2 + x * -2) + 5i * (2 + 5i + x) + x(2 + 5i + x)) = 0 ((-4 + -10i + -2x) + 5i * (2 + 5i + x) + x(2 + 5i + x)) = 0 (-4 + -10i + -2x + (2 * 5i + 5i * 5i + x * 5i) + x(2 + 5i + x)) = 0 Reorder the terms: (-4 + -10i + -2x + (10i + 5ix + 25i2) + x(2 + 5i + x)) = 0 (-4 + -10i + -2x + (10i + 5ix + 25i2) + x(2 + 5i + x)) = 0 (-4 + -10i + -2x + 10i + 5ix + 25i2 + (2 * x + 5i * x + x * x)) = 0 Reorder the terms: (-4 + -10i + -2x + 10i + 5ix + 25i2 + (5ix + 2x + x2)) = 0 (-4 + -10i + -2x + 10i + 5ix + 25i2 + (5ix + 2x + x2)) = 0 Reorder the terms: (-4 + -10i + 10i + 5ix + 5ix + 25i2 + -2x + 2x + x2) = 0 Combine like terms: -10i + 10i = 0 (-4 + 0 + 5ix + 5ix + 25i2 + -2x + 2x + x2) = 0 (-4 + 5ix + 5ix + 25i2 + -2x + 2x + x2) = 0 Combine like terms: 5ix + 5ix = 10ix (-4 + 10ix + 25i2 + -2x + 2x + x2) = 0 Combine like terms: -2x + 2x = 0 (-4 + 10ix + 25i2 + 0 + x2) = 0 (-4 + 10ix + 25i2 + x2) = 0 Solving -4 + 10ix + 25i2 + x2 = 0 Solving for variable 'i'. The solution to this equation could not be determined.
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