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Simplifying 4x2 + -31x + 65 = 0 Reorder the terms: 65 + -31x + 4x2 = 0 Solving 65 + -31x + 4x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 16.25 + -7.75x + x2 = 0 Move the constant term to the right: Add '-16.25' to each side of the equation. 16.25 + -7.75x + -16.25 + x2 = 0 + -16.25 Reorder the terms: 16.25 + -16.25 + -7.75x + x2 = 0 + -16.25 Combine like terms: 16.25 + -16.25 = 0.00 0.00 + -7.75x + x2 = 0 + -16.25 -7.75x + x2 = 0 + -16.25 Combine like terms: 0 + -16.25 = -16.25 -7.75x + x2 = -16.25 The x term is -7.75x. Take half its coefficient (-3.875). Square it (15.015625) and add it to both sides. Add '15.015625' to each side of the equation. -7.75x + 15.015625 + x2 = -16.25 + 15.015625 Reorder the terms: 15.015625 + -7.75x + x2 = -16.25 + 15.015625 Combine like terms: -16.25 + 15.015625 = -1.234375 15.015625 + -7.75x + x2 = -1.234375 Factor a perfect square on the left side: (x + -3.875)(x + -3.875) = -1.234375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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