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Simplifying 0 = (x + -4)(x + -2i) Reorder the terms: 0 = (-4 + x)(x + -2i) Reorder the terms: 0 = (-4 + x)(-2i + x) Multiply (-4 + x) * (-2i + x) 0 = (-4(-2i + x) + x(-2i + x)) 0 = ((-2i * -4 + x * -4) + x(-2i + x)) 0 = ((8i + -4x) + x(-2i + x)) 0 = (8i + -4x + (-2i * x + x * x)) 0 = (8i + -4x + (-2ix + x2)) Reorder the terms: 0 = (8i + -2ix + -4x + x2) 0 = (8i + -2ix + -4x + x2) Solving 0 = 8i + -2ix + -4x + x2 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-8i' to each side of the equation. 0 + -8i = 8i + -2ix + -4x + -8i + x2 Remove the zero: -8i = 8i + -2ix + -4x + -8i + x2 Reorder the terms: -8i = 8i + -8i + -2ix + -4x + x2 Combine like terms: 8i + -8i = 0 -8i = 0 + -2ix + -4x + x2 -8i = -2ix + -4x + x2 Add '2ix' to each side of the equation. -8i + 2ix = -2ix + -4x + 2ix + x2 Reorder the terms: -8i + 2ix = -2ix + 2ix + -4x + x2 Combine like terms: -2ix + 2ix = 0 -8i + 2ix = 0 + -4x + x2 -8i + 2ix = -4x + x2 Reorder the terms: -8i + 2ix + 4x + -1x2 = -4x + 4x + x2 + -1x2 Combine like terms: -4x + 4x = 0 -8i + 2ix + 4x + -1x2 = 0 + x2 + -1x2 -8i + 2ix + 4x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -8i + 2ix + 4x + -1x2 = 0 The solution to this equation could not be determined.
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