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Simplifying 12x2 + -37x + 140 = 0 Reorder the terms: 140 + -37x + 12x2 = 0 Solving 140 + -37x + 12x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. 11.66666667 + -3.083333333x + x2 = 0 Move the constant term to the right: Add '-11.66666667' to each side of the equation. 11.66666667 + -3.083333333x + -11.66666667 + x2 = 0 + -11.66666667 Reorder the terms: 11.66666667 + -11.66666667 + -3.083333333x + x2 = 0 + -11.66666667 Combine like terms: 11.66666667 + -11.66666667 = 0.00000000 0.00000000 + -3.083333333x + x2 = 0 + -11.66666667 -3.083333333x + x2 = 0 + -11.66666667 Combine like terms: 0 + -11.66666667 = -11.66666667 -3.083333333x + x2 = -11.66666667 The x term is -3.083333333x. Take half its coefficient (-1.541666667). Square it (2.376736112) and add it to both sides. Add '2.376736112' to each side of the equation. -3.083333333x + 2.376736112 + x2 = -11.66666667 + 2.376736112 Reorder the terms: 2.376736112 + -3.083333333x + x2 = -11.66666667 + 2.376736112 Combine like terms: -11.66666667 + 2.376736112 = -9.289930558 2.376736112 + -3.083333333x + x2 = -9.289930558 Factor a perfect square on the left side: (x + -1.541666667)(x + -1.541666667) = -9.289930558 Can't calculate square root of the right side. The solution to this equation could not be determined.
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