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Simplifying 9x2 + 3x + 5 = 0 Reorder the terms: 5 + 3x + 9x2 = 0 Solving 5 + 3x + 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'. 0.5555555556 + 0.3333333333x + x2 = 0 Move the constant term to the right: Add '-0.5555555556' to each side of the equation. 0.5555555556 + 0.3333333333x + -0.5555555556 + x2 = 0 + -0.5555555556 Reorder the terms: 0.5555555556 + -0.5555555556 + 0.3333333333x + x2 = 0 + -0.5555555556 Combine like terms: 0.5555555556 + -0.5555555556 = 0.0000000000 0.0000000000 + 0.3333333333x + x2 = 0 + -0.5555555556 0.3333333333x + x2 = 0 + -0.5555555556 Combine like terms: 0 + -0.5555555556 = -0.5555555556 0.3333333333x + x2 = -0.5555555556 The x term is 0.3333333333x. Take half its coefficient (0.1666666667). Square it (0.02777777779) and add it to both sides. Add '0.02777777779' to each side of the equation. 0.3333333333x + 0.02777777779 + x2 = -0.5555555556 + 0.02777777779 Reorder the terms: 0.02777777779 + 0.3333333333x + x2 = -0.5555555556 + 0.02777777779 Combine like terms: -0.5555555556 + 0.02777777779 = -0.52777777781 0.02777777779 + 0.3333333333x + x2 = -0.52777777781 Factor a perfect square on the left side: (x + 0.1666666667)(x + 0.1666666667) = -0.52777777781 Can't calculate square root of the right side. The solution to this equation could not be determined.
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