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Simplifying -12x2 + 19x + -22 = 0 Reorder the terms: -22 + 19x + -12x2 = 0 Solving -22 + 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'. 1.833333333 + -1.583333333x + x2 = 0 Move the constant term to the right: Add '-1.833333333' to each side of the equation. 1.833333333 + -1.583333333x + -1.833333333 + x2 = 0 + -1.833333333 Reorder the terms: 1.833333333 + -1.833333333 + -1.583333333x + x2 = 0 + -1.833333333 Combine like terms: 1.833333333 + -1.833333333 = 0.000000000 0.000000000 + -1.583333333x + x2 = 0 + -1.833333333 -1.583333333x + x2 = 0 + -1.833333333 Combine like terms: 0 + -1.833333333 = -1.833333333 -1.583333333x + x2 = -1.833333333 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 = -1.833333333 + 0.6267361108 Reorder the terms: 0.6267361108 + -1.583333333x + x2 = -1.833333333 + 0.6267361108 Combine like terms: -1.833333333 + 0.6267361108 = -1.2065972222 0.6267361108 + -1.583333333x + x2 = -1.2065972222 Factor a perfect square on the left side: (x + -0.7916666665)(x + -0.7916666665) = -1.2065972222 Can't calculate square root of the right side. The solution to this equation could not be determined.
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