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Simplifying 2x2 + -9x + 24 = 1 Reorder the terms: 24 + -9x + 2x2 = 1 Solving 24 + -9x + 2x2 = 1 Solving for variable 'x'. Reorder the terms: 24 + -1 + -9x + 2x2 = 1 + -1 Combine like terms: 24 + -1 = 23 23 + -9x + 2x2 = 1 + -1 Combine like terms: 1 + -1 = 0 23 + -9x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 11.5 + -4.5x + x2 = 0 Move the constant term to the right: Add '-11.5' to each side of the equation. 11.5 + -4.5x + -11.5 + x2 = 0 + -11.5 Reorder the terms: 11.5 + -11.5 + -4.5x + x2 = 0 + -11.5 Combine like terms: 11.5 + -11.5 = 0.0 0.0 + -4.5x + x2 = 0 + -11.5 -4.5x + x2 = 0 + -11.5 Combine like terms: 0 + -11.5 = -11.5 -4.5x + x2 = -11.5 The x term is -4.5x. Take half its coefficient (-2.25). Square it (5.0625) and add it to both sides. Add '5.0625' to each side of the equation. -4.5x + 5.0625 + x2 = -11.5 + 5.0625 Reorder the terms: 5.0625 + -4.5x + x2 = -11.5 + 5.0625 Combine like terms: -11.5 + 5.0625 = -6.4375 5.0625 + -4.5x + x2 = -6.4375 Factor a perfect square on the left side: (x + -2.25)(x + -2.25) = -6.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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