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Simplifying 3x2 + -31x + 225 = 0 Reorder the terms: 225 + -31x + 3x2 = 0 Solving 225 + -31x + 3x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 75 + -10.33333333x + x2 = 0 Move the constant term to the right: Add '-75' to each side of the equation. 75 + -10.33333333x + -75 + x2 = 0 + -75 Reorder the terms: 75 + -75 + -10.33333333x + x2 = 0 + -75 Combine like terms: 75 + -75 = 0 0 + -10.33333333x + x2 = 0 + -75 -10.33333333x + x2 = 0 + -75 Combine like terms: 0 + -75 = -75 -10.33333333x + x2 = -75 The x term is -10.33333333x. Take half its coefficient (-5.166666665). Square it (26.69444443) and add it to both sides. Add '26.69444443' to each side of the equation. -10.33333333x + 26.69444443 + x2 = -75 + 26.69444443 Reorder the terms: 26.69444443 + -10.33333333x + x2 = -75 + 26.69444443 Combine like terms: -75 + 26.69444443 = -48.30555557 26.69444443 + -10.33333333x + x2 = -48.30555557 Factor a perfect square on the left side: (x + -5.166666665)(x + -5.166666665) = -48.30555557 Can't calculate square root of the right side. The solution to this equation could not be determined.
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