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Simplifying 150 = -16t2 + 60t + 5 Reorder the terms: 150 = 5 + 60t + -16t2 Solving 150 = 5 + 60t + -16t2 Solving for variable 't'. Combine like terms: 150 + -5 = 145 145 + -60t + 16t2 = 5 + 60t + -16t2 + -5 + -60t + 16t2 Reorder the terms: 145 + -60t + 16t2 = 5 + -5 + 60t + -60t + -16t2 + 16t2 Combine like terms: 5 + -5 = 0 145 + -60t + 16t2 = 0 + 60t + -60t + -16t2 + 16t2 145 + -60t + 16t2 = 60t + -60t + -16t2 + 16t2 Combine like terms: 60t + -60t = 0 145 + -60t + 16t2 = 0 + -16t2 + 16t2 145 + -60t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 145 + -60t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 9.0625 + -3.75t + t2 = 0 Move the constant term to the right: Add '-9.0625' to each side of the equation. 9.0625 + -3.75t + -9.0625 + t2 = 0 + -9.0625 Reorder the terms: 9.0625 + -9.0625 + -3.75t + t2 = 0 + -9.0625 Combine like terms: 9.0625 + -9.0625 = 0.0000 0.0000 + -3.75t + t2 = 0 + -9.0625 -3.75t + t2 = 0 + -9.0625 Combine like terms: 0 + -9.0625 = -9.0625 -3.75t + t2 = -9.0625 The t term is -3.75t. Take half its coefficient (-1.875). Square it (3.515625) and add it to both sides. Add '3.515625' to each side of the equation. -3.75t + 3.515625 + t2 = -9.0625 + 3.515625 Reorder the terms: 3.515625 + -3.75t + t2 = -9.0625 + 3.515625 Combine like terms: -9.0625 + 3.515625 = -5.546875 3.515625 + -3.75t + t2 = -5.546875 Factor a perfect square on the left side: (t + -1.875)(t + -1.875) = -5.546875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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