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Simplifying 7x + 18x + -99 = 6x2 + -4x + 5 Reorder the terms: -99 + 7x + 18x = 6x2 + -4x + 5 Combine like terms: 7x + 18x = 25x -99 + 25x = 6x2 + -4x + 5 Reorder the terms: -99 + 25x = 5 + -4x + 6x2 Solving -99 + 25x = 5 + -4x + 6x2 Solving for variable 'x'. Reorder the terms: -99 + -5 + 25x + 4x + -6x2 = 5 + -4x + 6x2 + -5 + 4x + -6x2 Combine like terms: -99 + -5 = -104 -104 + 25x + 4x + -6x2 = 5 + -4x + 6x2 + -5 + 4x + -6x2 Combine like terms: 25x + 4x = 29x -104 + 29x + -6x2 = 5 + -4x + 6x2 + -5 + 4x + -6x2 Reorder the terms: -104 + 29x + -6x2 = 5 + -5 + -4x + 4x + 6x2 + -6x2 Combine like terms: 5 + -5 = 0 -104 + 29x + -6x2 = 0 + -4x + 4x + 6x2 + -6x2 -104 + 29x + -6x2 = -4x + 4x + 6x2 + -6x2 Combine like terms: -4x + 4x = 0 -104 + 29x + -6x2 = 0 + 6x2 + -6x2 -104 + 29x + -6x2 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -104 + 29x + -6x2 = 0 Begin completing the square. Divide all terms by -6 the coefficient of the squared term: Divide each side by '-6'. 17.33333333 + -4.833333333x + x2 = 0 Move the constant term to the right: Add '-17.33333333' to each side of the equation. 17.33333333 + -4.833333333x + -17.33333333 + x2 = 0 + -17.33333333 Reorder the terms: 17.33333333 + -17.33333333 + -4.833333333x + x2 = 0 + -17.33333333 Combine like terms: 17.33333333 + -17.33333333 = 0.00000000 0.00000000 + -4.833333333x + x2 = 0 + -17.33333333 -4.833333333x + x2 = 0 + -17.33333333 Combine like terms: 0 + -17.33333333 = -17.33333333 -4.833333333x + x2 = -17.33333333 The x term is -4.833333333x. Take half its coefficient (-2.416666667). Square it (5.840277779) and add it to both sides. Add '5.840277779' to each side of the equation. -4.833333333x + 5.840277779 + x2 = -17.33333333 + 5.840277779 Reorder the terms: 5.840277779 + -4.833333333x + x2 = -17.33333333 + 5.840277779 Combine like terms: -17.33333333 + 5.840277779 = -11.493055551 5.840277779 + -4.833333333x + x2 = -11.493055551 Factor a perfect square on the left side: (x + -2.416666667)(x + -2.416666667) = -11.493055551 Can't calculate square root of the right side. The solution to this equation could not be determined.
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