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Simplifying 24x2 + -216x + 665 = 0 Reorder the terms: 665 + -216x + 24x2 = 0 Solving 665 + -216x + 24x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 24 the coefficient of the squared term: Divide each side by '24'. 27.70833333 + -9x + x2 = 0 Move the constant term to the right: Add '-27.70833333' to each side of the equation. 27.70833333 + -9x + -27.70833333 + x2 = 0 + -27.70833333 Reorder the terms: 27.70833333 + -27.70833333 + -9x + x2 = 0 + -27.70833333 Combine like terms: 27.70833333 + -27.70833333 = 0.00000000 0.00000000 + -9x + x2 = 0 + -27.70833333 -9x + x2 = 0 + -27.70833333 Combine like terms: 0 + -27.70833333 = -27.70833333 -9x + x2 = -27.70833333 The x term is -9x. Take half its coefficient (-4.5). Square it (20.25) and add it to both sides. Add '20.25' to each side of the equation. -9x + 20.25 + x2 = -27.70833333 + 20.25 Reorder the terms: 20.25 + -9x + x2 = -27.70833333 + 20.25 Combine like terms: -27.70833333 + 20.25 = -7.45833333 20.25 + -9x + x2 = -7.45833333 Factor a perfect square on the left side: (x + -4.5)(x + -4.5) = -7.45833333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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