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Simplifying 120 = -16t2 + 85t Reorder the terms: 120 = 85t + -16t2 Solving 120 = 85t + -16t2 Solving for variable 't'. Reorder the terms: 120 + -85t + 16t2 = 85t + -85t + -16t2 + 16t2 Combine like terms: 85t + -85t = 0 120 + -85t + 16t2 = 0 + -16t2 + 16t2 120 + -85t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 120 + -85t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 7.5 + -5.3125t + t2 = 0 Move the constant term to the right: Add '-7.5' to each side of the equation. 7.5 + -5.3125t + -7.5 + t2 = 0 + -7.5 Reorder the terms: 7.5 + -7.5 + -5.3125t + t2 = 0 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + -5.3125t + t2 = 0 + -7.5 -5.3125t + t2 = 0 + -7.5 Combine like terms: 0 + -7.5 = -7.5 -5.3125t + t2 = -7.5 The t term is -5.3125t. Take half its coefficient (-2.65625). Square it (7.055664063) and add it to both sides. Add '7.055664063' to each side of the equation. -5.3125t + 7.055664063 + t2 = -7.5 + 7.055664063 Reorder the terms: 7.055664063 + -5.3125t + t2 = -7.5 + 7.055664063 Combine like terms: -7.5 + 7.055664063 = -0.444335937 7.055664063 + -5.3125t + t2 = -0.444335937 Factor a perfect square on the left side: (t + -2.65625)(t + -2.65625) = -0.444335937 Can't calculate square root of the right side. The solution to this equation could not be determined.
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