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Simplifying 2x2 + -9x + 60 = 0 Reorder the terms: 60 + -9x + 2x2 = 0 Solving 60 + -9x + 2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 30 + -4.5x + x2 = 0 Move the constant term to the right: Add '-30' to each side of the equation. 30 + -4.5x + -30 + x2 = 0 + -30 Reorder the terms: 30 + -30 + -4.5x + x2 = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -4.5x + x2 = 0 + -30 -4.5x + x2 = 0 + -30 Combine like terms: 0 + -30 = -30 -4.5x + x2 = -30 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 = -30 + 5.0625 Reorder the terms: 5.0625 + -4.5x + x2 = -30 + 5.0625 Combine like terms: -30 + 5.0625 = -24.9375 5.0625 + -4.5x + x2 = -24.9375 Factor a perfect square on the left side: (x + -2.25)(x + -2.25) = -24.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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