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Simplifying (45 + -1x) * x = 621 Reorder the terms for easier multiplication: x(45 + -1x) = 621 (45 * x + -1x * x) = 621 (45x + -1x2) = 621 Solving 45x + -1x2 = 621 Solving for variable 'x'. Reorder the terms: -621 + 45x + -1x2 = 621 + -621 Combine like terms: 621 + -621 = 0 -621 + 45x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 621 + -45x + x2 = 0 Move the constant term to the right: Add '-621' to each side of the equation. 621 + -45x + -621 + x2 = 0 + -621 Reorder the terms: 621 + -621 + -45x + x2 = 0 + -621 Combine like terms: 621 + -621 = 0 0 + -45x + x2 = 0 + -621 -45x + x2 = 0 + -621 Combine like terms: 0 + -621 = -621 -45x + x2 = -621 The x term is -45x. Take half its coefficient (-22.5). Square it (506.25) and add it to both sides. Add '506.25' to each side of the equation. -45x + 506.25 + x2 = -621 + 506.25 Reorder the terms: 506.25 + -45x + x2 = -621 + 506.25 Combine like terms: -621 + 506.25 = -114.75 506.25 + -45x + x2 = -114.75 Factor a perfect square on the left side: (x + -22.5)(x + -22.5) = -114.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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