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Simplifying 12x2 + -19x + 9 = 0 Reorder the terms: 9 + -19x + 12x2 = 0 Solving 9 + -19x + 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 + -1.583333333x + x2 = 0 Move the constant term to the right: Add '-0.75' to each side of the equation. 0.75 + -1.583333333x + -0.75 + x2 = 0 + -0.75 Reorder the terms: 0.75 + -0.75 + -1.583333333x + x2 = 0 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + -1.583333333x + x2 = 0 + -0.75 -1.583333333x + x2 = 0 + -0.75 Combine like terms: 0 + -0.75 = -0.75 -1.583333333x + x2 = -0.75 The x term is -1.583333333x. Take half its coefficient (-0.7916666665). Square it (0.6267361108) and add it to both sides. Add '0.6267361108' to each side of the equation. -1.583333333x + 0.6267361108 + x2 = -0.75 + 0.6267361108 Reorder the terms: 0.6267361108 + -1.583333333x + x2 = -0.75 + 0.6267361108 Combine like terms: -0.75 + 0.6267361108 = -0.1232638892 0.6267361108 + -1.583333333x + x2 = -0.1232638892 Factor a perfect square on the left side: (x + -0.7916666665)(x + -0.7916666665) = -0.1232638892 Can't calculate square root of the right side. The solution to this equation could not be determined.
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