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Simplifying 88 = 15t + -16t2 Solving 88 = 15t + -16t2 Solving for variable 't'. Reorder the terms: 88 + -15t + 16t2 = 15t + -15t + -16t2 + 16t2 Combine like terms: 15t + -15t = 0 88 + -15t + 16t2 = 0 + -16t2 + 16t2 88 + -15t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 88 + -15t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 5.5 + -0.9375t + t2 = 0 Move the constant term to the right: Add '-5.5' to each side of the equation. 5.5 + -0.9375t + -5.5 + t2 = 0 + -5.5 Reorder the terms: 5.5 + -5.5 + -0.9375t + t2 = 0 + -5.5 Combine like terms: 5.5 + -5.5 = 0.0 0.0 + -0.9375t + t2 = 0 + -5.5 -0.9375t + t2 = 0 + -5.5 Combine like terms: 0 + -5.5 = -5.5 -0.9375t + t2 = -5.5 The t term is -0.9375t. Take half its coefficient (-0.46875). Square it (0.2197265625) and add it to both sides. Add '0.2197265625' to each side of the equation. -0.9375t + 0.2197265625 + t2 = -5.5 + 0.2197265625 Reorder the terms: 0.2197265625 + -0.9375t + t2 = -5.5 + 0.2197265625 Combine like terms: -5.5 + 0.2197265625 = -5.2802734375 0.2197265625 + -0.9375t + t2 = -5.2802734375 Factor a perfect square on the left side: (t + -0.46875)(t + -0.46875) = -5.2802734375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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