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Simplifying 2x2 + -15x + 31 = 0 Reorder the terms: 31 + -15x + 2x2 = 0 Solving 31 + -15x + 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'. 15.5 + -7.5x + x2 = 0 Move the constant term to the right: Add '-15.5' to each side of the equation. 15.5 + -7.5x + -15.5 + x2 = 0 + -15.5 Reorder the terms: 15.5 + -15.5 + -7.5x + x2 = 0 + -15.5 Combine like terms: 15.5 + -15.5 = 0.0 0.0 + -7.5x + x2 = 0 + -15.5 -7.5x + x2 = 0 + -15.5 Combine like terms: 0 + -15.5 = -15.5 -7.5x + x2 = -15.5 The x term is -7.5x. Take half its coefficient (-3.75). Square it (14.0625) and add it to both sides. Add '14.0625' to each side of the equation. -7.5x + 14.0625 + x2 = -15.5 + 14.0625 Reorder the terms: 14.0625 + -7.5x + x2 = -15.5 + 14.0625 Combine like terms: -15.5 + 14.0625 = -1.4375 14.0625 + -7.5x + x2 = -1.4375 Factor a perfect square on the left side: (x + -3.75)(x + -3.75) = -1.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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