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Simplifying (x + -2i)(x + 2i)(x + 3) = 0 Reorder the terms: (-2i + x)(x + 2i)(x + 3) = 0 Reorder the terms: (-2i + x)(2i + x)(x + 3) = 0 Reorder the terms: (-2i + x)(2i + x)(3 + x) = 0 Multiply (-2i + x) * (2i + x) (-2i * (2i + x) + x(2i + x))(3 + x) = 0 ((2i * -2i + x * -2i) + x(2i + x))(3 + x) = 0 Reorder the terms: ((-2ix + -4i2) + x(2i + x))(3 + x) = 0 ((-2ix + -4i2) + x(2i + x))(3 + x) = 0 (-2ix + -4i2 + (2i * x + x * x))(3 + x) = 0 (-2ix + -4i2 + (2ix + x2))(3 + x) = 0 Reorder the terms: (-2ix + 2ix + -4i2 + x2)(3 + x) = 0 Combine like terms: -2ix + 2ix = 0 (0 + -4i2 + x2)(3 + x) = 0 (-4i2 + x2)(3 + x) = 0 Multiply (-4i2 + x2) * (3 + x) (-4i2 * (3 + x) + x2(3 + x)) = 0 ((3 * -4i2 + x * -4i2) + x2(3 + x)) = 0 ((-12i2 + -4i2x) + x2(3 + x)) = 0 (-12i2 + -4i2x + (3 * x2 + x * x2)) = 0 (-12i2 + -4i2x + (3x2 + x3)) = 0 (-12i2 + -4i2x + 3x2 + x3) = 0 Solving -12i2 + -4i2x + 3x2 + x3 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-3x2' to each side of the equation. -12i2 + -4i2x + 3x2 + -3x2 + x3 = 0 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -12i2 + -4i2x + 0 + x3 = 0 + -3x2 -12i2 + -4i2x + x3 = 0 + -3x2 Remove the zero: -12i2 + -4i2x + x3 = -3x2 Add '-1x3' to each side of the equation. -12i2 + -4i2x + x3 + -1x3 = -3x2 + -1x3 Combine like terms: x3 + -1x3 = 0 -12i2 + -4i2x + 0 = -3x2 + -1x3 -12i2 + -4i2x = -3x2 + -1x3 Reorder the terms: -12i2 + -4i2x + 3x2 + x3 = -3x2 + 3x2 + -1x3 + x3 Combine like terms: -3x2 + 3x2 = 0 -12i2 + -4i2x + 3x2 + x3 = 0 + -1x3 + x3 -12i2 + -4i2x + 3x2 + x3 = -1x3 + x3 Combine like terms: -1x3 + x3 = 0 -12i2 + -4i2x + 3x2 + x3 = 0 The solution to this equation could not be determined.
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