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Simplifying 9x2 + -49x + 120 = 0 Reorder the terms: 120 + -49x + 9x2 = 0 Solving 120 + -49x + 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'. 13.33333333 + -5.444444444x + x2 = 0 Move the constant term to the right: Add '-13.33333333' to each side of the equation. 13.33333333 + -5.444444444x + -13.33333333 + x2 = 0 + -13.33333333 Reorder the terms: 13.33333333 + -13.33333333 + -5.444444444x + x2 = 0 + -13.33333333 Combine like terms: 13.33333333 + -13.33333333 = 0.00000000 0.00000000 + -5.444444444x + x2 = 0 + -13.33333333 -5.444444444x + x2 = 0 + -13.33333333 Combine like terms: 0 + -13.33333333 = -13.33333333 -5.444444444x + x2 = -13.33333333 The x term is -5.444444444x. Take half its coefficient (-2.722222222). Square it (7.410493826) and add it to both sides. Add '7.410493826' to each side of the equation. -5.444444444x + 7.410493826 + x2 = -13.33333333 + 7.410493826 Reorder the terms: 7.410493826 + -5.444444444x + x2 = -13.33333333 + 7.410493826 Combine like terms: -13.33333333 + 7.410493826 = -5.922839504 7.410493826 + -5.444444444x + x2 = -5.922839504 Factor a perfect square on the left side: (x + -2.722222222)(x + -2.722222222) = -5.922839504 Can't calculate square root of the right side. The solution to this equation could not be determined.
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