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Simplifying 17 = -16t2 + 25t + 6 Reorder the terms: 17 = 6 + 25t + -16t2 Solving 17 = 6 + 25t + -16t2 Solving for variable 't'. Combine like terms: 17 + -6 = 11 11 + -25t + 16t2 = 6 + 25t + -16t2 + -6 + -25t + 16t2 Reorder the terms: 11 + -25t + 16t2 = 6 + -6 + 25t + -25t + -16t2 + 16t2 Combine like terms: 6 + -6 = 0 11 + -25t + 16t2 = 0 + 25t + -25t + -16t2 + 16t2 11 + -25t + 16t2 = 25t + -25t + -16t2 + 16t2 Combine like terms: 25t + -25t = 0 11 + -25t + 16t2 = 0 + -16t2 + 16t2 11 + -25t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 11 + -25t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 0.6875 + -1.5625t + t2 = 0 Move the constant term to the right: Add '-0.6875' to each side of the equation. 0.6875 + -1.5625t + -0.6875 + t2 = 0 + -0.6875 Reorder the terms: 0.6875 + -0.6875 + -1.5625t + t2 = 0 + -0.6875 Combine like terms: 0.6875 + -0.6875 = 0.0000 0.0000 + -1.5625t + t2 = 0 + -0.6875 -1.5625t + t2 = 0 + -0.6875 Combine like terms: 0 + -0.6875 = -0.6875 -1.5625t + t2 = -0.6875 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 = -0.6875 + 0.6103515625 Reorder the terms: 0.6103515625 + -1.5625t + t2 = -0.6875 + 0.6103515625 Combine like terms: -0.6875 + 0.6103515625 = -0.0771484375 0.6103515625 + -1.5625t + t2 = -0.0771484375 Factor a perfect square on the left side: (t + -0.78125)(t + -0.78125) = -0.0771484375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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