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Simplifying (x + 2i)(x + -21) = 0 Reorder the terms: (2i + x)(x + -21) = 0 Reorder the terms: (2i + x)(-21 + x) = 0 Multiply (2i + x) * (-21 + x) (2i * (-21 + x) + x(-21 + x)) = 0 ((-21 * 2i + x * 2i) + x(-21 + x)) = 0 ((-42i + 2ix) + x(-21 + x)) = 0 (-42i + 2ix + (-21 * x + x * x)) = 0 (-42i + 2ix + (-21x + x2)) = 0 (-42i + 2ix + -21x + x2) = 0 Solving -42i + 2ix + -21x + x2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '21x' to each side of the equation. -42i + 2ix + -21x + 21x + x2 = 0 + 21x Combine like terms: -21x + 21x = 0 -42i + 2ix + 0 + x2 = 0 + 21x -42i + 2ix + x2 = 0 + 21x Remove the zero: -42i + 2ix + x2 = 21x Add '-1x2' to each side of the equation. -42i + 2ix + x2 + -1x2 = 21x + -1x2 Combine like terms: x2 + -1x2 = 0 -42i + 2ix + 0 = 21x + -1x2 -42i + 2ix = 21x + -1x2 Reorder the terms: -42i + 2ix + -21x + x2 = 21x + -21x + -1x2 + x2 Combine like terms: 21x + -21x = 0 -42i + 2ix + -21x + x2 = 0 + -1x2 + x2 -42i + 2ix + -21x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -42i + 2ix + -21x + x2 = 0 The solution to this equation could not be determined.
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