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Simplifying (x + -10)(x + 10)(x + -2i) = 0 Reorder the terms: (-10 + x)(x + 10)(x + -2i) = 0 Reorder the terms: (-10 + x)(10 + x)(x + -2i) = 0 Reorder the terms: (-10 + x)(10 + x)(-2i + x) = 0 Multiply (-10 + x) * (10 + x) (-10(10 + x) + x(10 + x))(-2i + x) = 0 ((10 * -10 + x * -10) + x(10 + x))(-2i + x) = 0 ((-100 + -10x) + x(10 + x))(-2i + x) = 0 (-100 + -10x + (10 * x + x * x))(-2i + x) = 0 (-100 + -10x + (10x + x2))(-2i + x) = 0 Combine like terms: -10x + 10x = 0 (-100 + 0 + x2)(-2i + x) = 0 (-100 + x2)(-2i + x) = 0 Multiply (-100 + x2) * (-2i + x) (-100(-2i + x) + x2(-2i + x)) = 0 ((-2i * -100 + x * -100) + x2(-2i + x)) = 0 ((200i + -100x) + x2(-2i + x)) = 0 (200i + -100x + (-2i * x2 + x * x2)) = 0 (200i + -100x + (-2ix2 + x3)) = 0 Reorder the terms: (200i + -2ix2 + -100x + x3) = 0 (200i + -2ix2 + -100x + x3) = 0 Solving 200i + -2ix2 + -100x + x3 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '100x' to each side of the equation. 200i + -2ix2 + -100x + 100x + x3 = 0 + 100x Combine like terms: -100x + 100x = 0 200i + -2ix2 + 0 + x3 = 0 + 100x 200i + -2ix2 + x3 = 0 + 100x Remove the zero: 200i + -2ix2 + x3 = 100x Add '-1x3' to each side of the equation. 200i + -2ix2 + x3 + -1x3 = 100x + -1x3 Combine like terms: x3 + -1x3 = 0 200i + -2ix2 + 0 = 100x + -1x3 200i + -2ix2 = 100x + -1x3 Reorder the terms: 200i + -2ix2 + -100x + x3 = 100x + -100x + -1x3 + x3 Combine like terms: 100x + -100x = 0 200i + -2ix2 + -100x + x3 = 0 + -1x3 + x3 200i + -2ix2 + -100x + x3 = -1x3 + x3 Combine like terms: -1x3 + x3 = 0 200i + -2ix2 + -100x + x3 = 0 The solution to this equation could not be determined.
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