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Simplifying 16t2 + -22t + 73 = 0 Reorder the terms: 73 + -22t + 16t2 = 0 Solving 73 + -22t + 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'. 4.5625 + -1.375t + t2 = 0 Move the constant term to the right: Add '-4.5625' to each side of the equation. 4.5625 + -1.375t + -4.5625 + t2 = 0 + -4.5625 Reorder the terms: 4.5625 + -4.5625 + -1.375t + t2 = 0 + -4.5625 Combine like terms: 4.5625 + -4.5625 = 0.0000 0.0000 + -1.375t + t2 = 0 + -4.5625 -1.375t + t2 = 0 + -4.5625 Combine like terms: 0 + -4.5625 = -4.5625 -1.375t + t2 = -4.5625 The t term is -1.375t. Take half its coefficient (-0.6875). Square it (0.47265625) and add it to both sides. Add '0.47265625' to each side of the equation. -1.375t + 0.47265625 + t2 = -4.5625 + 0.47265625 Reorder the terms: 0.47265625 + -1.375t + t2 = -4.5625 + 0.47265625 Combine like terms: -4.5625 + 0.47265625 = -4.08984375 0.47265625 + -1.375t + t2 = -4.08984375 Factor a perfect square on the left side: (t + -0.6875)(t + -0.6875) = -4.08984375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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