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Simplifying 3t + -16t2 = 16 Solving 3t + -16t2 = 16 Solving for variable 't'. Reorder the terms: -16 + 3t + -16t2 = 16 + -16 Combine like terms: 16 + -16 = 0 -16 + 3t + -16t2 = 0 Begin completing the square. Divide all terms by -16 the coefficient of the squared term: Divide each side by '-16'. 1 + -0.1875t + t2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -0.1875t + -1 + t2 = 0 + -1 Reorder the terms: 1 + -1 + -0.1875t + t2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -0.1875t + t2 = 0 + -1 -0.1875t + t2 = 0 + -1 Combine like terms: 0 + -1 = -1 -0.1875t + t2 = -1 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 = -1 + 0.0087890625 Reorder the terms: 0.0087890625 + -0.1875t + t2 = -1 + 0.0087890625 Combine like terms: -1 + 0.0087890625 = -0.9912109375 0.0087890625 + -0.1875t + t2 = -0.9912109375 Factor a perfect square on the left side: (t + -0.09375)(t + -0.09375) = -0.9912109375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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