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Simplifying 99 = -16t2 + 80t + -96 Reorder the terms: 99 = -96 + 80t + -16t2 Solving 99 = -96 + 80t + -16t2 Solving for variable 't'. Combine like terms: 99 + 96 = 195 195 + -80t + 16t2 = -96 + 80t + -16t2 + 96 + -80t + 16t2 Reorder the terms: 195 + -80t + 16t2 = -96 + 96 + 80t + -80t + -16t2 + 16t2 Combine like terms: -96 + 96 = 0 195 + -80t + 16t2 = 0 + 80t + -80t + -16t2 + 16t2 195 + -80t + 16t2 = 80t + -80t + -16t2 + 16t2 Combine like terms: 80t + -80t = 0 195 + -80t + 16t2 = 0 + -16t2 + 16t2 195 + -80t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 195 + -80t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 12.1875 + -5t + t2 = 0 Move the constant term to the right: Add '-12.1875' to each side of the equation. 12.1875 + -5t + -12.1875 + t2 = 0 + -12.1875 Reorder the terms: 12.1875 + -12.1875 + -5t + t2 = 0 + -12.1875 Combine like terms: 12.1875 + -12.1875 = 0.0000 0.0000 + -5t + t2 = 0 + -12.1875 -5t + t2 = 0 + -12.1875 Combine like terms: 0 + -12.1875 = -12.1875 -5t + t2 = -12.1875 The t term is -5t. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5t + 6.25 + t2 = -12.1875 + 6.25 Reorder the terms: 6.25 + -5t + t2 = -12.1875 + 6.25 Combine like terms: -12.1875 + 6.25 = -5.9375 6.25 + -5t + t2 = -5.9375 Factor a perfect square on the left side: (t + -2.5)(t + -2.5) = -5.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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