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Simplifying 15x2 + 5x + 9 = 0 Reorder the terms: 9 + 5x + 15x2 = 0 Solving 9 + 5x + 15x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 15 the coefficient of the squared term: Divide each side by '15'. 0.6 + 0.3333333333x + x2 = 0 Move the constant term to the right: Add '-0.6' to each side of the equation. 0.6 + 0.3333333333x + -0.6 + x2 = 0 + -0.6 Reorder the terms: 0.6 + -0.6 + 0.3333333333x + x2 = 0 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + 0.3333333333x + x2 = 0 + -0.6 0.3333333333x + x2 = 0 + -0.6 Combine like terms: 0 + -0.6 = -0.6 0.3333333333x + x2 = -0.6 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 = -0.6 + 0.02777777779 Reorder the terms: 0.02777777779 + 0.3333333333x + x2 = -0.6 + 0.02777777779 Combine like terms: -0.6 + 0.02777777779 = -0.57222222221 0.02777777779 + 0.3333333333x + x2 = -0.57222222221 Factor a perfect square on the left side: (x + 0.1666666667)(x + 0.1666666667) = -0.57222222221 Can't calculate square root of the right side. The solution to this equation could not be determined.
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