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Simplifying 17.5 = 32t + -16t2 Solving 17.5 = 32t + -16t2 Solving for variable 't'. Reorder the terms: 17.5 + -32t + 16t2 = 32t + -32t + -16t2 + 16t2 Combine like terms: 32t + -32t = 0 17.5 + -32t + 16t2 = 0 + -16t2 + 16t2 17.5 + -32t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 17.5 + -32t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 1.09375 + -2t + t2 = 0 Move the constant term to the right: Add '-1.09375' to each side of the equation. 1.09375 + -2t + -1.09375 + t2 = 0 + -1.09375 Reorder the terms: 1.09375 + -1.09375 + -2t + t2 = 0 + -1.09375 Combine like terms: 1.09375 + -1.09375 = 0.00000 0.00000 + -2t + t2 = 0 + -1.09375 -2t + t2 = 0 + -1.09375 Combine like terms: 0 + -1.09375 = -1.09375 -2t + t2 = -1.09375 The t term is -2t. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2t + 1 + t2 = -1.09375 + 1 Reorder the terms: 1 + -2t + t2 = -1.09375 + 1 Combine like terms: -1.09375 + 1 = -0.09375 1 + -2t + t2 = -0.09375 Factor a perfect square on the left side: (t + -1)(t + -1) = -0.09375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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