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Simplifying 777 = -16t2 + 52t + 16 Reorder the terms: 777 = 16 + 52t + -16t2 Solving 777 = 16 + 52t + -16t2 Solving for variable 't'. Combine like terms: 777 + -16 = 761 761 + -52t + 16t2 = 16 + 52t + -16t2 + -16 + -52t + 16t2 Reorder the terms: 761 + -52t + 16t2 = 16 + -16 + 52t + -52t + -16t2 + 16t2 Combine like terms: 16 + -16 = 0 761 + -52t + 16t2 = 0 + 52t + -52t + -16t2 + 16t2 761 + -52t + 16t2 = 52t + -52t + -16t2 + 16t2 Combine like terms: 52t + -52t = 0 761 + -52t + 16t2 = 0 + -16t2 + 16t2 761 + -52t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 761 + -52t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 47.5625 + -3.25t + t2 = 0 Move the constant term to the right: Add '-47.5625' to each side of the equation. 47.5625 + -3.25t + -47.5625 + t2 = 0 + -47.5625 Reorder the terms: 47.5625 + -47.5625 + -3.25t + t2 = 0 + -47.5625 Combine like terms: 47.5625 + -47.5625 = 0.0000 0.0000 + -3.25t + t2 = 0 + -47.5625 -3.25t + t2 = 0 + -47.5625 Combine like terms: 0 + -47.5625 = -47.5625 -3.25t + t2 = -47.5625 The t term is -3.25t. Take half its coefficient (-1.625). Square it (2.640625) and add it to both sides. Add '2.640625' to each side of the equation. -3.25t + 2.640625 + t2 = -47.5625 + 2.640625 Reorder the terms: 2.640625 + -3.25t + t2 = -47.5625 + 2.640625 Combine like terms: -47.5625 + 2.640625 = -44.921875 2.640625 + -3.25t + t2 = -44.921875 Factor a perfect square on the left side: (t + -1.625)(t + -1.625) = -44.921875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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