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Simplifying 2x2 + -5x + 82 = 0 Reorder the terms: 82 + -5x + 2x2 = 0 Solving 82 + -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'. 41 + -2.5x + x2 = 0 Move the constant term to the right: Add '-41' to each side of the equation. 41 + -2.5x + -41 + x2 = 0 + -41 Reorder the terms: 41 + -41 + -2.5x + x2 = 0 + -41 Combine like terms: 41 + -41 = 0 0 + -2.5x + x2 = 0 + -41 -2.5x + x2 = 0 + -41 Combine like terms: 0 + -41 = -41 -2.5x + x2 = -41 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 = -41 + 1.5625 Reorder the terms: 1.5625 + -2.5x + x2 = -41 + 1.5625 Combine like terms: -41 + 1.5625 = -39.4375 1.5625 + -2.5x + x2 = -39.4375 Factor a perfect square on the left side: (x + -1.25)(x + -1.25) = -39.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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