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Simplifying 9x2 + -28x + 40 = 0 Reorder the terms: 40 + -28x + 9x2 = 0 Solving 40 + -28x + 9x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 4.444444444 + -3.111111111x + x2 = 0 Move the constant term to the right: Add '-4.444444444' to each side of the equation. 4.444444444 + -3.111111111x + -4.444444444 + x2 = 0 + -4.444444444 Reorder the terms: 4.444444444 + -4.444444444 + -3.111111111x + x2 = 0 + -4.444444444 Combine like terms: 4.444444444 + -4.444444444 = 0.000000000 0.000000000 + -3.111111111x + x2 = 0 + -4.444444444 -3.111111111x + x2 = 0 + -4.444444444 Combine like terms: 0 + -4.444444444 = -4.444444444 -3.111111111x + x2 = -4.444444444 The x term is -3.111111111x. Take half its coefficient (-1.555555556). Square it (2.419753088) and add it to both sides. Add '2.419753088' to each side of the equation. -3.111111111x + 2.419753088 + x2 = -4.444444444 + 2.419753088 Reorder the terms: 2.419753088 + -3.111111111x + x2 = -4.444444444 + 2.419753088 Combine like terms: -4.444444444 + 2.419753088 = -2.024691356 2.419753088 + -3.111111111x + x2 = -2.024691356 Factor a perfect square on the left side: (x + -1.555555556)(x + -1.555555556) = -2.024691356 Can't calculate square root of the right side. The solution to this equation could not be determined.
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