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Simplifying 0 = -16t2 + 25t + -45 Reorder the terms: 0 = -45 + 25t + -16t2 Solving 0 = -45 + 25t + -16t2 Solving for variable 't'. Combine like terms: 0 + 45 = 45 45 + -25t + 16t2 = -45 + 25t + -16t2 + 45 + -25t + 16t2 Reorder the terms: 45 + -25t + 16t2 = -45 + 45 + 25t + -25t + -16t2 + 16t2 Combine like terms: -45 + 45 = 0 45 + -25t + 16t2 = 0 + 25t + -25t + -16t2 + 16t2 45 + -25t + 16t2 = 25t + -25t + -16t2 + 16t2 Combine like terms: 25t + -25t = 0 45 + -25t + 16t2 = 0 + -16t2 + 16t2 45 + -25t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 45 + -25t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 2.8125 + -1.5625t + t2 = 0 Move the constant term to the right: Add '-2.8125' to each side of the equation. 2.8125 + -1.5625t + -2.8125 + t2 = 0 + -2.8125 Reorder the terms: 2.8125 + -2.8125 + -1.5625t + t2 = 0 + -2.8125 Combine like terms: 2.8125 + -2.8125 = 0.0000 0.0000 + -1.5625t + t2 = 0 + -2.8125 -1.5625t + t2 = 0 + -2.8125 Combine like terms: 0 + -2.8125 = -2.8125 -1.5625t + t2 = -2.8125 The t term is -1.5625t. Take half its coefficient (-0.78125). Square it (0.6103515625) and add it to both sides. Add '0.6103515625' to each side of the equation. -1.5625t + 0.6103515625 + t2 = -2.8125 + 0.6103515625 Reorder the terms: 0.6103515625 + -1.5625t + t2 = -2.8125 + 0.6103515625 Combine like terms: -2.8125 + 0.6103515625 = -2.2021484375 0.6103515625 + -1.5625t + t2 = -2.2021484375 Factor a perfect square on the left side: (t + -0.78125)(t + -0.78125) = -2.2021484375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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