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Simplifying (X + -3)(x2 + -17x + 72) = 0 Reorder the terms: (-3 + X)(x2 + -17x + 72) = 0 Reorder the terms: (-3 + X)(72 + -17x + x2) = 0 Multiply (-3 + X) * (72 + -17x + x2) (-3(72 + -17x + x2) + X(72 + -17x + x2)) = 0 ((72 * -3 + -17x * -3 + x2 * -3) + X(72 + -17x + x2)) = 0 ((-216 + 51x + -3x2) + X(72 + -17x + x2)) = 0 (-216 + 51x + -3x2 + (72 * X + -17x * X + x2 * X)) = 0 (-216 + 51x + -3x2 + (72X + -17xX + x2X)) = 0 Reorder the terms: (-216 + 72X + 51x + -17xX + -3x2 + x2X) = 0 (-216 + 72X + 51x + -17xX + -3x2 + x2X) = 0 Solving -216 + 72X + 51x + -17xX + -3x2 + x2X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '216' to each side of the equation. -216 + 72X + 51x + -17xX + -3x2 + 216 + x2X = 0 + 216 Reorder the terms: -216 + 216 + 72X + 51x + -17xX + -3x2 + x2X = 0 + 216 Combine like terms: -216 + 216 = 0 0 + 72X + 51x + -17xX + -3x2 + x2X = 0 + 216 72X + 51x + -17xX + -3x2 + x2X = 0 + 216 Combine like terms: 0 + 216 = 216 72X + 51x + -17xX + -3x2 + x2X = 216 Add '-51x' to each side of the equation. 72X + 51x + -17xX + -3x2 + -51x + x2X = 216 + -51x Reorder the terms: 72X + 51x + -51x + -17xX + -3x2 + x2X = 216 + -51x Combine like terms: 51x + -51x = 0 72X + 0 + -17xX + -3x2 + x2X = 216 + -51x 72X + -17xX + -3x2 + x2X = 216 + -51x Add '3x2' to each side of the equation. 72X + -17xX + -3x2 + 3x2 + x2X = 216 + -51x + 3x2 Combine like terms: -3x2 + 3x2 = 0 72X + -17xX + 0 + x2X = 216 + -51x + 3x2 72X + -17xX + x2X = 216 + -51x + 3x2 Reorder the terms: -216 + 72X + 51x + -17xX + -3x2 + x2X = 216 + -51x + 3x2 + -216 + 51x + -3x2 Reorder the terms: -216 + 72X + 51x + -17xX + -3x2 + x2X = 216 + -216 + -51x + 51x + 3x2 + -3x2 Combine like terms: 216 + -216 = 0 -216 + 72X + 51x + -17xX + -3x2 + x2X = 0 + -51x + 51x + 3x2 + -3x2 -216 + 72X + 51x + -17xX + -3x2 + x2X = -51x + 51x + 3x2 + -3x2 Combine like terms: -51x + 51x = 0 -216 + 72X + 51x + -17xX + -3x2 + x2X = 0 + 3x2 + -3x2 -216 + 72X + 51x + -17xX + -3x2 + x2X = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -216 + 72X + 51x + -17xX + -3x2 + x2X = 0 The solution to this equation could not be determined.
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