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Simplifying 16t2 + -29t + 22 = 0 Reorder the terms: 22 + -29t + 16t2 = 0 Solving 22 + -29t + 16t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 1.375 + -1.8125t + t2 = 0 Move the constant term to the right: Add '-1.375' to each side of the equation. 1.375 + -1.8125t + -1.375 + t2 = 0 + -1.375 Reorder the terms: 1.375 + -1.375 + -1.8125t + t2 = 0 + -1.375 Combine like terms: 1.375 + -1.375 = 0.000 0.000 + -1.8125t + t2 = 0 + -1.375 -1.8125t + t2 = 0 + -1.375 Combine like terms: 0 + -1.375 = -1.375 -1.8125t + t2 = -1.375 The t term is -1.8125t. Take half its coefficient (-0.90625). Square it (0.8212890625) and add it to both sides. Add '0.8212890625' to each side of the equation. -1.8125t + 0.8212890625 + t2 = -1.375 + 0.8212890625 Reorder the terms: 0.8212890625 + -1.8125t + t2 = -1.375 + 0.8212890625 Combine like terms: -1.375 + 0.8212890625 = -0.5537109375 0.8212890625 + -1.8125t + t2 = -0.5537109375 Factor a perfect square on the left side: (t + -0.90625)(t + -0.90625) = -0.5537109375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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