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Simplifying 15 = -16t2 + 8t + 0 Reorder the terms: 15 = 0 + 8t + -16t2 Remove the zero: 15 = 8t + -16t2 Solving 15 = 8t + -16t2 Solving for variable 't'. Reorder the terms: 15 + -8t + 16t2 = 8t + -8t + -16t2 + 16t2 Combine like terms: 8t + -8t = 0 15 + -8t + 16t2 = 0 + -16t2 + 16t2 15 + -8t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 15 + -8t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 0.9375 + -0.5t + t2 = 0 Move the constant term to the right: Add '-0.9375' to each side of the equation. 0.9375 + -0.5t + -0.9375 + t2 = 0 + -0.9375 Reorder the terms: 0.9375 + -0.9375 + -0.5t + t2 = 0 + -0.9375 Combine like terms: 0.9375 + -0.9375 = 0.0000 0.0000 + -0.5t + t2 = 0 + -0.9375 -0.5t + t2 = 0 + -0.9375 Combine like terms: 0 + -0.9375 = -0.9375 -0.5t + t2 = -0.9375 The t term is -0.5t. Take half its coefficient (-0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. -0.5t + 0.0625 + t2 = -0.9375 + 0.0625 Reorder the terms: 0.0625 + -0.5t + t2 = -0.9375 + 0.0625 Combine like terms: -0.9375 + 0.0625 = -0.875 0.0625 + -0.5t + t2 = -0.875 Factor a perfect square on the left side: (t + -0.25)(t + -0.25) = -0.875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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