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Simplifying (x + -2i)(x2 + 9) = 0 Reorder the terms: (-2i + x)(x2 + 9) = 0 Reorder the terms: (-2i + x)(9 + x2) = 0 Multiply (-2i + x) * (9 + x2) (-2i * (9 + x2) + x(9 + x2)) = 0 ((9 * -2i + x2 * -2i) + x(9 + x2)) = 0 ((-18i + -2ix2) + x(9 + x2)) = 0 (-18i + -2ix2 + (9 * x + x2 * x)) = 0 (-18i + -2ix2 + (9x + x3)) = 0 (-18i + -2ix2 + 9x + x3) = 0 Solving -18i + -2ix2 + 9x + x3 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-9x' to each side of the equation. -18i + -2ix2 + 9x + -9x + x3 = 0 + -9x Combine like terms: 9x + -9x = 0 -18i + -2ix2 + 0 + x3 = 0 + -9x -18i + -2ix2 + x3 = 0 + -9x Remove the zero: -18i + -2ix2 + x3 = -9x Add '-1x3' to each side of the equation. -18i + -2ix2 + x3 + -1x3 = -9x + -1x3 Combine like terms: x3 + -1x3 = 0 -18i + -2ix2 + 0 = -9x + -1x3 -18i + -2ix2 = -9x + -1x3 Reorder the terms: -18i + -2ix2 + 9x + x3 = -9x + 9x + -1x3 + x3 Combine like terms: -9x + 9x = 0 -18i + -2ix2 + 9x + x3 = 0 + -1x3 + x3 -18i + -2ix2 + 9x + x3 = -1x3 + x3 Combine like terms: -1x3 + x3 = 0 -18i + -2ix2 + 9x + x3 = 0 The solution to this equation could not be determined.
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