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Simplifying 3x2 + 10x + 9 = 0 Reorder the terms: 9 + 10x + 3x2 = 0 Solving 9 + 10x + 3x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 3 + 3.333333333x + x2 = 0 Move the constant term to the right: Add '-3' to each side of the equation. 3 + 3.333333333x + -3 + x2 = 0 + -3 Reorder the terms: 3 + -3 + 3.333333333x + x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 3.333333333x + x2 = 0 + -3 3.333333333x + x2 = 0 + -3 Combine like terms: 0 + -3 = -3 3.333333333x + x2 = -3 The x term is 3.333333333x. Take half its coefficient (1.666666667). Square it (2.777777779) and add it to both sides. Add '2.777777779' to each side of the equation. 3.333333333x + 2.777777779 + x2 = -3 + 2.777777779 Reorder the terms: 2.777777779 + 3.333333333x + x2 = -3 + 2.777777779 Combine like terms: -3 + 2.777777779 = -0.222222221 2.777777779 + 3.333333333x + x2 = -0.222222221 Factor a perfect square on the left side: (x + 1.666666667)(x + 1.666666667) = -0.222222221 Can't calculate square root of the right side. The solution to this equation could not be determined.
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