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Simplifying -16t2 + 25t + 9 = 3000 Reorder the terms: 9 + 25t + -16t2 = 3000 Solving 9 + 25t + -16t2 = 3000 Solving for variable 't'. Reorder the terms: 9 + -3000 + 25t + -16t2 = 3000 + -3000 Combine like terms: 9 + -3000 = -2991 -2991 + 25t + -16t2 = 3000 + -3000 Combine like terms: 3000 + -3000 = 0 -2991 + 25t + -16t2 = 0 Begin completing the square. Divide all terms by -16 the coefficient of the squared term: Divide each side by '-16'. 186.9375 + -1.5625t + t2 = 0 Move the constant term to the right: Add '-186.9375' to each side of the equation. 186.9375 + -1.5625t + -186.9375 + t2 = 0 + -186.9375 Reorder the terms: 186.9375 + -186.9375 + -1.5625t + t2 = 0 + -186.9375 Combine like terms: 186.9375 + -186.9375 = 0.0000 0.0000 + -1.5625t + t2 = 0 + -186.9375 -1.5625t + t2 = 0 + -186.9375 Combine like terms: 0 + -186.9375 = -186.9375 -1.5625t + t2 = -186.9375 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 = -186.9375 + 0.6103515625 Reorder the terms: 0.6103515625 + -1.5625t + t2 = -186.9375 + 0.6103515625 Combine like terms: -186.9375 + 0.6103515625 = -186.3271484375 0.6103515625 + -1.5625t + t2 = -186.3271484375 Factor a perfect square on the left side: (t + -0.78125)(t + -0.78125) = -186.3271484375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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