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Simplifying -16t2 + 40t + -65 = 0 Reorder the terms: -65 + 40t + -16t2 = 0 Solving -65 + 40t + -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'. 4.0625 + -2.5t + t2 = 0 Move the constant term to the right: Add '-4.0625' to each side of the equation. 4.0625 + -2.5t + -4.0625 + t2 = 0 + -4.0625 Reorder the terms: 4.0625 + -4.0625 + -2.5t + t2 = 0 + -4.0625 Combine like terms: 4.0625 + -4.0625 = 0.0000 0.0000 + -2.5t + t2 = 0 + -4.0625 -2.5t + t2 = 0 + -4.0625 Combine like terms: 0 + -4.0625 = -4.0625 -2.5t + t2 = -4.0625 The t term is -2.5t. Take half its coefficient (-1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. -2.5t + 1.5625 + t2 = -4.0625 + 1.5625 Reorder the terms: 1.5625 + -2.5t + t2 = -4.0625 + 1.5625 Combine like terms: -4.0625 + 1.5625 = -2.5 1.5625 + -2.5t + t2 = -2.5 Factor a perfect square on the left side: (t + -1.25)(t + -1.25) = -2.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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