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Simplifying 2x2 + -5x + 19 = 0 Reorder the terms: 19 + -5x + 2x2 = 0 Solving 19 + -5x + 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'. 9.5 + -2.5x + x2 = 0 Move the constant term to the right: Add '-9.5' to each side of the equation. 9.5 + -2.5x + -9.5 + x2 = 0 + -9.5 Reorder the terms: 9.5 + -9.5 + -2.5x + x2 = 0 + -9.5 Combine like terms: 9.5 + -9.5 = 0.0 0.0 + -2.5x + x2 = 0 + -9.5 -2.5x + x2 = 0 + -9.5 Combine like terms: 0 + -9.5 = -9.5 -2.5x + x2 = -9.5 The x term is -2.5x. Take half its coefficient (-1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. -2.5x + 1.5625 + x2 = -9.5 + 1.5625 Reorder the terms: 1.5625 + -2.5x + x2 = -9.5 + 1.5625 Combine like terms: -9.5 + 1.5625 = -7.9375 1.5625 + -2.5x + x2 = -7.9375 Factor a perfect square on the left side: (x + -1.25)(x + -1.25) = -7.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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