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Simplifying -16t2 + 19t + -102 = 0 Reorder the terms: -102 + 19t + -16t2 = 0 Solving -102 + 19t + -16t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by -16 the coefficient of the squared term: Divide each side by '-16'. 6.375 + -1.1875t + t2 = 0 Move the constant term to the right: Add '-6.375' to each side of the equation. 6.375 + -1.1875t + -6.375 + t2 = 0 + -6.375 Reorder the terms: 6.375 + -6.375 + -1.1875t + t2 = 0 + -6.375 Combine like terms: 6.375 + -6.375 = 0.000 0.000 + -1.1875t + t2 = 0 + -6.375 -1.1875t + t2 = 0 + -6.375 Combine like terms: 0 + -6.375 = -6.375 -1.1875t + t2 = -6.375 The t term is -1.1875t. Take half its coefficient (-0.59375). Square it (0.3525390625) and add it to both sides. Add '0.3525390625' to each side of the equation. -1.1875t + 0.3525390625 + t2 = -6.375 + 0.3525390625 Reorder the terms: 0.3525390625 + -1.1875t + t2 = -6.375 + 0.3525390625 Combine like terms: -6.375 + 0.3525390625 = -6.0224609375 0.3525390625 + -1.1875t + t2 = -6.0224609375 Factor a perfect square on the left side: (t + -0.59375)(t + -0.59375) = -6.0224609375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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