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Simplifying 0 = -16t2 + 39t + -25 Reorder the terms: 0 = -25 + 39t + -16t2 Solving 0 = -25 + 39t + -16t2 Solving for variable 't'. Combine like terms: 0 + 25 = 25 25 + -39t + 16t2 = -25 + 39t + -16t2 + 25 + -39t + 16t2 Reorder the terms: 25 + -39t + 16t2 = -25 + 25 + 39t + -39t + -16t2 + 16t2 Combine like terms: -25 + 25 = 0 25 + -39t + 16t2 = 0 + 39t + -39t + -16t2 + 16t2 25 + -39t + 16t2 = 39t + -39t + -16t2 + 16t2 Combine like terms: 39t + -39t = 0 25 + -39t + 16t2 = 0 + -16t2 + 16t2 25 + -39t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 25 + -39t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 1.5625 + -2.4375t + t2 = 0 Move the constant term to the right: Add '-1.5625' to each side of the equation. 1.5625 + -2.4375t + -1.5625 + t2 = 0 + -1.5625 Reorder the terms: 1.5625 + -1.5625 + -2.4375t + t2 = 0 + -1.5625 Combine like terms: 1.5625 + -1.5625 = 0.0000 0.0000 + -2.4375t + t2 = 0 + -1.5625 -2.4375t + t2 = 0 + -1.5625 Combine like terms: 0 + -1.5625 = -1.5625 -2.4375t + t2 = -1.5625 The t term is -2.4375t. Take half its coefficient (-1.21875). Square it (1.485351563) and add it to both sides. Add '1.485351563' to each side of the equation. -2.4375t + 1.485351563 + t2 = -1.5625 + 1.485351563 Reorder the terms: 1.485351563 + -2.4375t + t2 = -1.5625 + 1.485351563 Combine like terms: -1.5625 + 1.485351563 = -0.077148437 1.485351563 + -2.4375t + t2 = -0.077148437 Factor a perfect square on the left side: (t + -1.21875)(t + -1.21875) = -0.077148437 Can't calculate square root of the right side. The solution to this equation could not be determined.
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