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Simplifying 0 = -16t2 + 128t + -275 Reorder the terms: 0 = -275 + 128t + -16t2 Solving 0 = -275 + 128t + -16t2 Solving for variable 't'. Combine like terms: 0 + 275 = 275 275 + -128t + 16t2 = -275 + 128t + -16t2 + 275 + -128t + 16t2 Reorder the terms: 275 + -128t + 16t2 = -275 + 275 + 128t + -128t + -16t2 + 16t2 Combine like terms: -275 + 275 = 0 275 + -128t + 16t2 = 0 + 128t + -128t + -16t2 + 16t2 275 + -128t + 16t2 = 128t + -128t + -16t2 + 16t2 Combine like terms: 128t + -128t = 0 275 + -128t + 16t2 = 0 + -16t2 + 16t2 275 + -128t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 275 + -128t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 17.1875 + -8t + t2 = 0 Move the constant term to the right: Add '-17.1875' to each side of the equation. 17.1875 + -8t + -17.1875 + t2 = 0 + -17.1875 Reorder the terms: 17.1875 + -17.1875 + -8t + t2 = 0 + -17.1875 Combine like terms: 17.1875 + -17.1875 = 0.0000 0.0000 + -8t + t2 = 0 + -17.1875 -8t + t2 = 0 + -17.1875 Combine like terms: 0 + -17.1875 = -17.1875 -8t + t2 = -17.1875 The t term is -8t. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8t + 16 + t2 = -17.1875 + 16 Reorder the terms: 16 + -8t + t2 = -17.1875 + 16 Combine like terms: -17.1875 + 16 = -1.1875 16 + -8t + t2 = -1.1875 Factor a perfect square on the left side: (t + -4)(t + -4) = -1.1875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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