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Simplifying 0 = -16t2 + 23t + -13 Reorder the terms: 0 = -13 + 23t + -16t2 Solving 0 = -13 + 23t + -16t2 Solving for variable 't'. Combine like terms: 0 + 13 = 13 13 + -23t + 16t2 = -13 + 23t + -16t2 + 13 + -23t + 16t2 Reorder the terms: 13 + -23t + 16t2 = -13 + 13 + 23t + -23t + -16t2 + 16t2 Combine like terms: -13 + 13 = 0 13 + -23t + 16t2 = 0 + 23t + -23t + -16t2 + 16t2 13 + -23t + 16t2 = 23t + -23t + -16t2 + 16t2 Combine like terms: 23t + -23t = 0 13 + -23t + 16t2 = 0 + -16t2 + 16t2 13 + -23t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 13 + -23t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 0.8125 + -1.4375t + t2 = 0 Move the constant term to the right: Add '-0.8125' to each side of the equation. 0.8125 + -1.4375t + -0.8125 + t2 = 0 + -0.8125 Reorder the terms: 0.8125 + -0.8125 + -1.4375t + t2 = 0 + -0.8125 Combine like terms: 0.8125 + -0.8125 = 0.0000 0.0000 + -1.4375t + t2 = 0 + -0.8125 -1.4375t + t2 = 0 + -0.8125 Combine like terms: 0 + -0.8125 = -0.8125 -1.4375t + t2 = -0.8125 The t term is -1.4375t. Take half its coefficient (-0.71875). Square it (0.5166015625) and add it to both sides. Add '0.5166015625' to each side of the equation. -1.4375t + 0.5166015625 + t2 = -0.8125 + 0.5166015625 Reorder the terms: 0.5166015625 + -1.4375t + t2 = -0.8125 + 0.5166015625 Combine like terms: -0.8125 + 0.5166015625 = -0.2958984375 0.5166015625 + -1.4375t + t2 = -0.2958984375 Factor a perfect square on the left side: (t + -0.71875)(t + -0.71875) = -0.2958984375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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