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Simplifying t = -60 + -16t2 Solving t = -60 + -16t2 Solving for variable 't'. Reorder the terms: 60 + t + 16t2 = -60 + -16t2 + 60 + 16t2 Reorder the terms: 60 + t + 16t2 = -60 + 60 + -16t2 + 16t2 Combine like terms: -60 + 60 = 0 60 + t + 16t2 = 0 + -16t2 + 16t2 60 + t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 60 + t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 3.75 + 0.0625t + t2 = 0 Move the constant term to the right: Add '-3.75' to each side of the equation. 3.75 + 0.0625t + -3.75 + t2 = 0 + -3.75 Reorder the terms: 3.75 + -3.75 + 0.0625t + t2 = 0 + -3.75 Combine like terms: 3.75 + -3.75 = 0.00 0.00 + 0.0625t + t2 = 0 + -3.75 0.0625t + t2 = 0 + -3.75 Combine like terms: 0 + -3.75 = -3.75 0.0625t + t2 = -3.75 The t term is t. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. 0.0625t + 0.25 + t2 = -3.75 + 0.25 Reorder the terms: 0.25 + 0.0625t + t2 = -3.75 + 0.25 Combine like terms: -3.75 + 0.25 = -3.5 0.25 + 0.0625t + t2 = -3.5 Factor a perfect square on the left side: (t + 0.5)(t + 0.5) = -3.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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