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Simplifying 5x2 + -22x + 31 = 0 Reorder the terms: 31 + -22x + 5x2 = 0 Solving 31 + -22x + 5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 6.2 + -4.4x + x2 = 0 Move the constant term to the right: Add '-6.2' to each side of the equation. 6.2 + -4.4x + -6.2 + x2 = 0 + -6.2 Reorder the terms: 6.2 + -6.2 + -4.4x + x2 = 0 + -6.2 Combine like terms: 6.2 + -6.2 = 0.0 0.0 + -4.4x + x2 = 0 + -6.2 -4.4x + x2 = 0 + -6.2 Combine like terms: 0 + -6.2 = -6.2 -4.4x + x2 = -6.2 The x term is -4.4x. Take half its coefficient (-2.2). Square it (4.84) and add it to both sides. Add '4.84' to each side of the equation. -4.4x + 4.84 + x2 = -6.2 + 4.84 Reorder the terms: 4.84 + -4.4x + x2 = -6.2 + 4.84 Combine like terms: -6.2 + 4.84 = -1.36 4.84 + -4.4x + x2 = -1.36 Factor a perfect square on the left side: (x + -2.2)(x + -2.2) = -1.36 Can't calculate square root of the right side. The solution to this equation could not be determined.
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