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Simplifying 60 = -16t2 + 2.4t + 6 Reorder the terms: 60 = 6 + 2.4t + -16t2 Solving 60 = 6 + 2.4t + -16t2 Solving for variable 't'. Combine like terms: 60 + -6 = 54 54 + -2.4t + 16t2 = 6 + 2.4t + -16t2 + -6 + -2.4t + 16t2 Reorder the terms: 54 + -2.4t + 16t2 = 6 + -6 + 2.4t + -2.4t + -16t2 + 16t2 Combine like terms: 6 + -6 = 0 54 + -2.4t + 16t2 = 0 + 2.4t + -2.4t + -16t2 + 16t2 54 + -2.4t + 16t2 = 2.4t + -2.4t + -16t2 + 16t2 Combine like terms: 2.4t + -2.4t = 0.0 54 + -2.4t + 16t2 = 0.0 + -16t2 + 16t2 54 + -2.4t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 54 + -2.4t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 3.375 + -0.15t + t2 = 0 Move the constant term to the right: Add '-3.375' to each side of the equation. 3.375 + -0.15t + -3.375 + t2 = 0 + -3.375 Reorder the terms: 3.375 + -3.375 + -0.15t + t2 = 0 + -3.375 Combine like terms: 3.375 + -3.375 = 0.000 0.000 + -0.15t + t2 = 0 + -3.375 -0.15t + t2 = 0 + -3.375 Combine like terms: 0 + -3.375 = -3.375 -0.15t + t2 = -3.375 The t term is -0.15t. Take half its coefficient (-0.075). Square it (0.005625) and add it to both sides. Add '0.005625' to each side of the equation. -0.15t + 0.005625 + t2 = -3.375 + 0.005625 Reorder the terms: 0.005625 + -0.15t + t2 = -3.375 + 0.005625 Combine like terms: -3.375 + 0.005625 = -3.369375 0.005625 + -0.15t + t2 = -3.369375 Factor a perfect square on the left side: (t + -0.075)(t + -0.075) = -3.369375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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