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Simplifying (x2 + -6)(x + -3i) = 0 Reorder the terms: (-6 + x2)(x + -3i) = 0 Reorder the terms: (-6 + x2)(-3i + x) = 0 Multiply (-6 + x2) * (-3i + x) (-6(-3i + x) + x2(-3i + x)) = 0 ((-3i * -6 + x * -6) + x2(-3i + x)) = 0 ((18i + -6x) + x2(-3i + x)) = 0 (18i + -6x + (-3i * x2 + x * x2)) = 0 (18i + -6x + (-3ix2 + x3)) = 0 Reorder the terms: (18i + -3ix2 + -6x + x3) = 0 (18i + -3ix2 + -6x + x3) = 0 Solving 18i + -3ix2 + -6x + x3 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '6x' to each side of the equation. 18i + -3ix2 + -6x + 6x + x3 = 0 + 6x Combine like terms: -6x + 6x = 0 18i + -3ix2 + 0 + x3 = 0 + 6x 18i + -3ix2 + x3 = 0 + 6x Remove the zero: 18i + -3ix2 + x3 = 6x Add '-1x3' to each side of the equation. 18i + -3ix2 + x3 + -1x3 = 6x + -1x3 Combine like terms: x3 + -1x3 = 0 18i + -3ix2 + 0 = 6x + -1x3 18i + -3ix2 = 6x + -1x3 Reorder the terms: 18i + -3ix2 + -6x + x3 = 6x + -6x + -1x3 + x3 Combine like terms: 6x + -6x = 0 18i + -3ix2 + -6x + x3 = 0 + -1x3 + x3 18i + -3ix2 + -6x + x3 = -1x3 + x3 Combine like terms: -1x3 + x3 = 0 18i + -3ix2 + -6x + x3 = 0 The solution to this equation could not be determined.
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