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Simplifying 12x2 + 13x + 9 = 0 Reorder the terms: 9 + 13x + 12x2 = 0 Solving 9 + 13x + 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'. 0.75 + 1.083333333x + x2 = 0 Move the constant term to the right: Add '-0.75' to each side of the equation. 0.75 + 1.083333333x + -0.75 + x2 = 0 + -0.75 Reorder the terms: 0.75 + -0.75 + 1.083333333x + x2 = 0 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + 1.083333333x + x2 = 0 + -0.75 1.083333333x + x2 = 0 + -0.75 Combine like terms: 0 + -0.75 = -0.75 1.083333333x + x2 = -0.75 The x term is 1.083333333x. Take half its coefficient (0.5416666665). Square it (0.2934027776) and add it to both sides. Add '0.2934027776' to each side of the equation. 1.083333333x + 0.2934027776 + x2 = -0.75 + 0.2934027776 Reorder the terms: 0.2934027776 + 1.083333333x + x2 = -0.75 + 0.2934027776 Combine like terms: -0.75 + 0.2934027776 = -0.4565972224 0.2934027776 + 1.083333333x + x2 = -0.4565972224 Factor a perfect square on the left side: (x + 0.5416666665)(x + 0.5416666665) = -0.4565972224 Can't calculate square root of the right side. The solution to this equation could not be determined.
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