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Simplifying 3x2 + -13x + 40 = 0 Reorder the terms: 40 + -13x + 3x2 = 0 Solving 40 + -13x + 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'. 13.33333333 + -4.333333333x + x2 = 0 Move the constant term to the right: Add '-13.33333333' to each side of the equation. 13.33333333 + -4.333333333x + -13.33333333 + x2 = 0 + -13.33333333 Reorder the terms: 13.33333333 + -13.33333333 + -4.333333333x + x2 = 0 + -13.33333333 Combine like terms: 13.33333333 + -13.33333333 = 0.00000000 0.00000000 + -4.333333333x + x2 = 0 + -13.33333333 -4.333333333x + x2 = 0 + -13.33333333 Combine like terms: 0 + -13.33333333 = -13.33333333 -4.333333333x + x2 = -13.33333333 The x term is -4.333333333x. Take half its coefficient (-2.166666667). Square it (4.694444446) and add it to both sides. Add '4.694444446' to each side of the equation. -4.333333333x + 4.694444446 + x2 = -13.33333333 + 4.694444446 Reorder the terms: 4.694444446 + -4.333333333x + x2 = -13.33333333 + 4.694444446 Combine like terms: -13.33333333 + 4.694444446 = -8.638888884 4.694444446 + -4.333333333x + x2 = -8.638888884 Factor a perfect square on the left side: (x + -2.166666667)(x + -2.166666667) = -8.638888884 Can't calculate square root of the right side. The solution to this equation could not be determined.
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