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Simplifying -16t2 + 72t + -109 = 0 Reorder the terms: -109 + 72t + -16t2 = 0 Solving -109 + 72t + -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'. 6.8125 + -4.5t + t2 = 0 Move the constant term to the right: Add '-6.8125' to each side of the equation. 6.8125 + -4.5t + -6.8125 + t2 = 0 + -6.8125 Reorder the terms: 6.8125 + -6.8125 + -4.5t + t2 = 0 + -6.8125 Combine like terms: 6.8125 + -6.8125 = 0.0000 0.0000 + -4.5t + t2 = 0 + -6.8125 -4.5t + t2 = 0 + -6.8125 Combine like terms: 0 + -6.8125 = -6.8125 -4.5t + t2 = -6.8125 The t term is -4.5t. Take half its coefficient (-2.25). Square it (5.0625) and add it to both sides. Add '5.0625' to each side of the equation. -4.5t + 5.0625 + t2 = -6.8125 + 5.0625 Reorder the terms: 5.0625 + -4.5t + t2 = -6.8125 + 5.0625 Combine like terms: -6.8125 + 5.0625 = -1.75 5.0625 + -4.5t + t2 = -1.75 Factor a perfect square on the left side: (t + -2.25)(t + -2.25) = -1.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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