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Simplifying 3x2 + -37x + 147 = 0 Reorder the terms: 147 + -37x + 3x2 = 0 Solving 147 + -37x + 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'. 49 + -12.33333333x + x2 = 0 Move the constant term to the right: Add '-49' to each side of the equation. 49 + -12.33333333x + -49 + x2 = 0 + -49 Reorder the terms: 49 + -49 + -12.33333333x + x2 = 0 + -49 Combine like terms: 49 + -49 = 0 0 + -12.33333333x + x2 = 0 + -49 -12.33333333x + x2 = 0 + -49 Combine like terms: 0 + -49 = -49 -12.33333333x + x2 = -49 The x term is -12.33333333x. Take half its coefficient (-6.166666665). Square it (38.02777776) and add it to both sides. Add '38.02777776' to each side of the equation. -12.33333333x + 38.02777776 + x2 = -49 + 38.02777776 Reorder the terms: 38.02777776 + -12.33333333x + x2 = -49 + 38.02777776 Combine like terms: -49 + 38.02777776 = -10.97222224 38.02777776 + -12.33333333x + x2 = -10.97222224 Factor a perfect square on the left side: (x + -6.166666665)(x + -6.166666665) = -10.97222224 Can't calculate square root of the right side. The solution to this equation could not be determined.
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