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Simplifying (9 + -4i2 + -6x + x2)(x + 195) = 0 Reorder the terms: (9 + -4i2 + -6x + x2)(195 + x) = 0 Multiply (9 + -4i2 + -6x + x2) * (195 + x) (9(195 + x) + -4i2 * (195 + x) + -6x * (195 + x) + x2(195 + x)) = 0 ((195 * 9 + x * 9) + -4i2 * (195 + x) + -6x * (195 + x) + x2(195 + x)) = 0 ((1755 + 9x) + -4i2 * (195 + x) + -6x * (195 + x) + x2(195 + x)) = 0 (1755 + 9x + (195 * -4i2 + x * -4i2) + -6x * (195 + x) + x2(195 + x)) = 0 (1755 + 9x + (-780i2 + -4i2x) + -6x * (195 + x) + x2(195 + x)) = 0 (1755 + 9x + -780i2 + -4i2x + (195 * -6x + x * -6x) + x2(195 + x)) = 0 (1755 + 9x + -780i2 + -4i2x + (-1170x + -6x2) + x2(195 + x)) = 0 (1755 + 9x + -780i2 + -4i2x + -1170x + -6x2 + (195 * x2 + x * x2)) = 0 (1755 + 9x + -780i2 + -4i2x + -1170x + -6x2 + (195x2 + x3)) = 0 Reorder the terms: (1755 + -780i2 + -4i2x + 9x + -1170x + -6x2 + 195x2 + x3) = 0 Combine like terms: 9x + -1170x = -1161x (1755 + -780i2 + -4i2x + -1161x + -6x2 + 195x2 + x3) = 0 Combine like terms: -6x2 + 195x2 = 189x2 (1755 + -780i2 + -4i2x + -1161x + 189x2 + x3) = 0 Solving 1755 + -780i2 + -4i2x + -1161x + 189x2 + x3 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1755' to each side of the equation. 1755 + -780i2 + -4i2x + -1161x + 189x2 + -1755 + x3 = 0 + -1755 Reorder the terms: 1755 + -1755 + -780i2 + -4i2x + -1161x + 189x2 + x3 = 0 + -1755 Combine like terms: 1755 + -1755 = 0 0 + -780i2 + -4i2x + -1161x + 189x2 + x3 = 0 + -1755 -780i2 + -4i2x + -1161x + 189x2 + x3 = 0 + -1755 Combine like terms: 0 + -1755 = -1755 -780i2 + -4i2x + -1161x + 189x2 + x3 = -1755 Add '1161x' to each side of the equation. -780i2 + -4i2x + -1161x + 189x2 + 1161x + x3 = -1755 + 1161x Reorder the terms: -780i2 + -4i2x + -1161x + 1161x + 189x2 + x3 = -1755 + 1161x Combine like terms: -1161x + 1161x = 0 -780i2 + -4i2x + 0 + 189x2 + x3 = -1755 + 1161x -780i2 + -4i2x + 189x2 + x3 = -1755 + 1161x Add '-189x2' to each side of the equation. -780i2 + -4i2x + 189x2 + -189x2 + x3 = -1755 + 1161x + -189x2 Combine like terms: 189x2 + -189x2 = 0 -780i2 + -4i2x + 0 + x3 = -1755 + 1161x + -189x2 -780i2 + -4i2x + x3 = -1755 + 1161x + -189x2 Add '-1x3' to each side of the equation. -780i2 + -4i2x + x3 + -1x3 = -1755 + 1161x + -189x2 + -1x3 Combine like terms: x3 + -1x3 = 0 -780i2 + -4i2x + 0 = -1755 + 1161x + -189x2 + -1x3 -780i2 + -4i2x = -1755 + 1161x + -189x2 + -1x3 Reorder the terms: 1755 + -780i2 + -4i2x + -1161x + 189x2 + x3 = -1755 + 1161x + -189x2 + -1x3 + 1755 + -1161x + 189x2 + x3 Reorder the terms: 1755 + -780i2 + -4i2x + -1161x + 189x2 + x3 = -1755 + 1755 + 1161x + -1161x + -189x2 + 189x2 + -1x3 + x3 Combine like terms: -1755 + 1755 = 0 1755 + -780i2 + -4i2x + -1161x + 189x2 + x3 = 0 + 1161x + -1161x + -189x2 + 189x2 + -1x3 + x3 1755 + -780i2 + -4i2x + -1161x + 189x2 + x3 = 1161x + -1161x + -189x2 + 189x2 + -1x3 + x3 Combine like terms: 1161x + -1161x = 0 1755 + -780i2 + -4i2x + -1161x + 189x2 + x3 = 0 + -189x2 + 189x2 + -1x3 + x3 1755 + -780i2 + -4i2x + -1161x + 189x2 + x3 = -189x2 + 189x2 + -1x3 + x3 Combine like terms: -189x2 + 189x2 = 0 1755 + -780i2 + -4i2x + -1161x + 189x2 + x3 = 0 + -1x3 + x3 1755 + -780i2 + -4i2x + -1161x + 189x2 + x3 = -1x3 + x3 Combine like terms: -1x3 + x3 = 0 1755 + -780i2 + -4i2x + -1161x + 189x2 + x3 = 0 The solution to this equation could not be determined.
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