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Simplifying (x)(x)(x + -0.05 + i)(x + -0.05 + -1i) = 0 Reorder the terms: x * x(-0.05 + i + x)(x + -0.05 + -1i) = 0 Reorder the terms: x * x(-0.05 + i + x)(-0.05 + -1i + x) = 0 Multiply x * x x2(-0.05 + i + x)(-0.05 + -1i + x) = 0 Multiply (-0.05 + i + x) * (-0.05 + -1i + x) x2(-0.05(-0.05 + -1i + x) + i(-0.05 + -1i + x) + x(-0.05 + -1i + x)) = 0 x2((-0.05 * -0.05 + -1i * -0.05 + x * -0.05) + i(-0.05 + -1i + x) + x(-0.05 + -1i + x)) = 0 x2((0.0025 + 0.05i + -0.05x) + i(-0.05 + -1i + x) + x(-0.05 + -1i + x)) = 0 x2(0.0025 + 0.05i + -0.05x + (-0.05 * i + -1i * i + x * i) + x(-0.05 + -1i + x)) = 0 Reorder the terms: x2(0.0025 + 0.05i + -0.05x + (-0.05i + ix + -1i2) + x(-0.05 + -1i + x)) = 0 x2(0.0025 + 0.05i + -0.05x + (-0.05i + ix + -1i2) + x(-0.05 + -1i + x)) = 0 x2(0.0025 + 0.05i + -0.05x + -0.05i + ix + -1i2 + (-0.05 * x + -1i * x + x * x)) = 0 Reorder the terms: x2(0.0025 + 0.05i + -0.05x + -0.05i + ix + -1i2 + (-1ix + -0.05x + x2)) = 0 x2(0.0025 + 0.05i + -0.05x + -0.05i + ix + -1i2 + (-1ix + -0.05x + x2)) = 0 Reorder the terms: x2(0.0025 + 0.05i + -0.05i + ix + -1ix + -1i2 + -0.05x + -0.05x + x2) = 0 Combine like terms: 0.05i + -0.05i = 0.00 x2(0.0025 + 0.00 + ix + -1ix + -1i2 + -0.05x + -0.05x + x2) = 0 x2(0.0025 + ix + -1ix + -1i2 + -0.05x + -0.05x + x2) = 0 Combine like terms: ix + -1ix = 0 x2(0.0025 + 0 + -1i2 + -0.05x + -0.05x + x2) = 0 x2(0.0025 + -1i2 + -0.05x + -0.05x + x2) = 0 Combine like terms: -0.05x + -0.05x = -0.1x x2(0.0025 + -1i2 + -0.1x + x2) = 0 (0.0025 * x2 + -1i2 * x2 + -0.1x * x2 + x2 * x2) = 0 Reorder the terms: (-1i2x2 + 0.0025x2 + -0.1x3 + x4) = 0 (-1i2x2 + 0.0025x2 + -0.1x3 + x4) = 0 Solving -1i2x2 + 0.0025x2 + -0.1x3 + x4 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-0.0025x2' to each side of the equation. -1i2x2 + 0.0025x2 + -0.1x3 + -0.0025x2 + x4 = 0 + -0.0025x2 Reorder the terms: -1i2x2 + 0.0025x2 + -0.0025x2 + -0.1x3 + x4 = 0 + -0.0025x2 Combine like terms: 0.0025x2 + -0.0025x2 = 0.0000 -1i2x2 + 0.0000 + -0.1x3 + x4 = 0 + -0.0025x2 -1i2x2 + -0.1x3 + x4 = 0 + -0.0025x2 Remove the zero: -1i2x2 + -0.1x3 + x4 = -0.0025x2 Add '0.1x3' to each side of the equation. -1i2x2 + -0.1x3 + 0.1x3 + x4 = -0.0025x2 + 0.1x3 Combine like terms: -0.1x3 + 0.1x3 = 0.0 -1i2x2 + 0.0 + x4 = -0.0025x2 + 0.1x3 -1i2x2 + x4 = -0.0025x2 + 0.1x3 Add '-1x4' to each side of the equation. -1i2x2 + x4 + -1x4 = -0.0025x2 + 0.1x3 + -1x4 Combine like terms: x4 + -1x4 = 0 -1i2x2 + 0 = -0.0025x2 + 0.1x3 + -1x4 -1i2x2 = -0.0025x2 + 0.1x3 + -1x4 Divide each side by '-1x2'. i2 = 0.0025 + -0.1x + x2 Simplifying i2 = 0.0025 + -0.1x + x2 Reorder the terms: -0.0025 + i2 + 0.1x + -1x2 = 0.0025 + -0.1x + x2 + -0.0025 + 0.1x + -1x2 Reorder the terms: -0.0025 + i2 + 0.1x + -1x2 = 0.0025 + -0.0025 + -0.1x + 0.1x + x2 + -1x2 Combine like terms: 0.0025 + -0.0025 = 0.0000 -0.0025 + i2 + 0.1x + -1x2 = 0.0000 + -0.1x + 0.1x + x2 + -1x2 -0.0025 + i2 + 0.1x + -1x2 = -0.1x + 0.1x + x2 + -1x2 Combine like terms: -0.1x + 0.1x = 0.0 -0.0025 + i2 + 0.1x + -1x2 = 0.0 + x2 + -1x2 -0.0025 + i2 + 0.1x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -0.0025 + i2 + 0.1x + -1x2 = 0 The solution to this equation could not be determined.
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