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Simplifying 0 = -16t2 + 19t + -332 Reorder the terms: 0 = -332 + 19t + -16t2 Solving 0 = -332 + 19t + -16t2 Solving for variable 't'. Combine like terms: 0 + 332 = 332 332 + -19t + 16t2 = -332 + 19t + -16t2 + 332 + -19t + 16t2 Reorder the terms: 332 + -19t + 16t2 = -332 + 332 + 19t + -19t + -16t2 + 16t2 Combine like terms: -332 + 332 = 0 332 + -19t + 16t2 = 0 + 19t + -19t + -16t2 + 16t2 332 + -19t + 16t2 = 19t + -19t + -16t2 + 16t2 Combine like terms: 19t + -19t = 0 332 + -19t + 16t2 = 0 + -16t2 + 16t2 332 + -19t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 332 + -19t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 20.75 + -1.1875t + t2 = 0 Move the constant term to the right: Add '-20.75' to each side of the equation. 20.75 + -1.1875t + -20.75 + t2 = 0 + -20.75 Reorder the terms: 20.75 + -20.75 + -1.1875t + t2 = 0 + -20.75 Combine like terms: 20.75 + -20.75 = 0.00 0.00 + -1.1875t + t2 = 0 + -20.75 -1.1875t + t2 = 0 + -20.75 Combine like terms: 0 + -20.75 = -20.75 -1.1875t + t2 = -20.75 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 = -20.75 + 0.3525390625 Reorder the terms: 0.3525390625 + -1.1875t + t2 = -20.75 + 0.3525390625 Combine like terms: -20.75 + 0.3525390625 = -20.3974609375 0.3525390625 + -1.1875t + t2 = -20.3974609375 Factor a perfect square on the left side: (t + -0.59375)(t + -0.59375) = -20.3974609375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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