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Simplifying 51 = 48t + -16t2 Solving 51 = 48t + -16t2 Solving for variable 't'. Reorder the terms: 51 + -48t + 16t2 = 48t + -48t + -16t2 + 16t2 Combine like terms: 48t + -48t = 0 51 + -48t + 16t2 = 0 + -16t2 + 16t2 51 + -48t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 51 + -48t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 3.1875 + -3t + t2 = 0 Move the constant term to the right: Add '-3.1875' to each side of the equation. 3.1875 + -3t + -3.1875 + t2 = 0 + -3.1875 Reorder the terms: 3.1875 + -3.1875 + -3t + t2 = 0 + -3.1875 Combine like terms: 3.1875 + -3.1875 = 0.0000 0.0000 + -3t + t2 = 0 + -3.1875 -3t + t2 = 0 + -3.1875 Combine like terms: 0 + -3.1875 = -3.1875 -3t + t2 = -3.1875 The t term is -3t. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3t + 2.25 + t2 = -3.1875 + 2.25 Reorder the terms: 2.25 + -3t + t2 = -3.1875 + 2.25 Combine like terms: -3.1875 + 2.25 = -0.9375 2.25 + -3t + t2 = -0.9375 Factor a perfect square on the left side: (t + -1.5)(t + -1.5) = -0.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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