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Simplifying 35 = -16t2 + 3t + 25 Reorder the terms: 35 = 25 + 3t + -16t2 Solving 35 = 25 + 3t + -16t2 Solving for variable 't'. Combine like terms: 35 + -25 = 10 10 + -3t + 16t2 = 25 + 3t + -16t2 + -25 + -3t + 16t2 Reorder the terms: 10 + -3t + 16t2 = 25 + -25 + 3t + -3t + -16t2 + 16t2 Combine like terms: 25 + -25 = 0 10 + -3t + 16t2 = 0 + 3t + -3t + -16t2 + 16t2 10 + -3t + 16t2 = 3t + -3t + -16t2 + 16t2 Combine like terms: 3t + -3t = 0 10 + -3t + 16t2 = 0 + -16t2 + 16t2 10 + -3t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 10 + -3t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 0.625 + -0.1875t + t2 = 0 Move the constant term to the right: Add '-0.625' to each side of the equation. 0.625 + -0.1875t + -0.625 + t2 = 0 + -0.625 Reorder the terms: 0.625 + -0.625 + -0.1875t + t2 = 0 + -0.625 Combine like terms: 0.625 + -0.625 = 0.000 0.000 + -0.1875t + t2 = 0 + -0.625 -0.1875t + t2 = 0 + -0.625 Combine like terms: 0 + -0.625 = -0.625 -0.1875t + t2 = -0.625 The t term is -0.1875t. Take half its coefficient (-0.09375). Square it (0.0087890625) and add it to both sides. Add '0.0087890625' to each side of the equation. -0.1875t + 0.0087890625 + t2 = -0.625 + 0.0087890625 Reorder the terms: 0.0087890625 + -0.1875t + t2 = -0.625 + 0.0087890625 Combine like terms: -0.625 + 0.0087890625 = -0.6162109375 0.0087890625 + -0.1875t + t2 = -0.6162109375 Factor a perfect square on the left side: (t + -0.09375)(t + -0.09375) = -0.6162109375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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