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Simplifying 3x2 + -31x = -110 Reorder the terms: -31x + 3x2 = -110 Solving -31x + 3x2 = -110 Solving for variable 'x'. Reorder the terms: 110 + -31x + 3x2 = -110 + 110 Combine like terms: -110 + 110 = 0 110 + -31x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 36.66666667 + -10.33333333x + x2 = 0 Move the constant term to the right: Add '-36.66666667' to each side of the equation. 36.66666667 + -10.33333333x + -36.66666667 + x2 = 0 + -36.66666667 Reorder the terms: 36.66666667 + -36.66666667 + -10.33333333x + x2 = 0 + -36.66666667 Combine like terms: 36.66666667 + -36.66666667 = 0.00000000 0.00000000 + -10.33333333x + x2 = 0 + -36.66666667 -10.33333333x + x2 = 0 + -36.66666667 Combine like terms: 0 + -36.66666667 = -36.66666667 -10.33333333x + x2 = -36.66666667 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 = -36.66666667 + 26.69444443 Reorder the terms: 26.69444443 + -10.33333333x + x2 = -36.66666667 + 26.69444443 Combine like terms: -36.66666667 + 26.69444443 = -9.97222224 26.69444443 + -10.33333333x + x2 = -9.97222224 Factor a perfect square on the left side: (x + -5.166666665)(x + -5.166666665) = -9.97222224 Can't calculate square root of the right side. The solution to this equation could not be determined.
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