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Simplifying -16t2 + 63t + -96 = 0 Reorder the terms: -96 + 63t + -16t2 = 0 Solving -96 + 63t + -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 + -3.9375t + t2 = 0 Move the constant term to the right: Add '-6' to each side of the equation. 6 + -3.9375t + -6 + t2 = 0 + -6 Reorder the terms: 6 + -6 + -3.9375t + t2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -3.9375t + t2 = 0 + -6 -3.9375t + t2 = 0 + -6 Combine like terms: 0 + -6 = -6 -3.9375t + t2 = -6 The t term is -3.9375t. Take half its coefficient (-1.96875). Square it (3.875976563) and add it to both sides. Add '3.875976563' to each side of the equation. -3.9375t + 3.875976563 + t2 = -6 + 3.875976563 Reorder the terms: 3.875976563 + -3.9375t + t2 = -6 + 3.875976563 Combine like terms: -6 + 3.875976563 = -2.124023437 3.875976563 + -3.9375t + t2 = -2.124023437 Factor a perfect square on the left side: (t + -1.96875)(t + -1.96875) = -2.124023437 Can't calculate square root of the right side. The solution to this equation could not be determined.
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