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Simplifying 12x2 + -184x + 989 = 0 Reorder the terms: 989 + -184x + 12x2 = 0 Solving 989 + -184x + 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'. 82.41666667 + -15.33333333x + x2 = 0 Move the constant term to the right: Add '-82.41666667' to each side of the equation. 82.41666667 + -15.33333333x + -82.41666667 + x2 = 0 + -82.41666667 Reorder the terms: 82.41666667 + -82.41666667 + -15.33333333x + x2 = 0 + -82.41666667 Combine like terms: 82.41666667 + -82.41666667 = 0.00000000 0.00000000 + -15.33333333x + x2 = 0 + -82.41666667 -15.33333333x + x2 = 0 + -82.41666667 Combine like terms: 0 + -82.41666667 = -82.41666667 -15.33333333x + x2 = -82.41666667 The x term is -15.33333333x. Take half its coefficient (-7.666666665). Square it (58.77777775) and add it to both sides. Add '58.77777775' to each side of the equation. -15.33333333x + 58.77777775 + x2 = -82.41666667 + 58.77777775 Reorder the terms: 58.77777775 + -15.33333333x + x2 = -82.41666667 + 58.77777775 Combine like terms: -82.41666667 + 58.77777775 = -23.63888892 58.77777775 + -15.33333333x + x2 = -23.63888892 Factor a perfect square on the left side: (x + -7.666666665)(x + -7.666666665) = -23.63888892 Can't calculate square root of the right side. The solution to this equation could not be determined.
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