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Simplifying 16t2 + 5t + 15 = 0 Reorder the terms: 15 + 5t + 16t2 = 0 Solving 15 + 5t + 16t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 0.9375 + 0.3125t + t2 = 0 Move the constant term to the right: Add '-0.9375' to each side of the equation. 0.9375 + 0.3125t + -0.9375 + t2 = 0 + -0.9375 Reorder the terms: 0.9375 + -0.9375 + 0.3125t + t2 = 0 + -0.9375 Combine like terms: 0.9375 + -0.9375 = 0.0000 0.0000 + 0.3125t + t2 = 0 + -0.9375 0.3125t + t2 = 0 + -0.9375 Combine like terms: 0 + -0.9375 = -0.9375 0.3125t + t2 = -0.9375 The t term is 0.3125t. Take half its coefficient (0.15625). Square it (0.0244140625) and add it to both sides. Add '0.0244140625' to each side of the equation. 0.3125t + 0.0244140625 + t2 = -0.9375 + 0.0244140625 Reorder the terms: 0.0244140625 + 0.3125t + t2 = -0.9375 + 0.0244140625 Combine like terms: -0.9375 + 0.0244140625 = -0.9130859375 0.0244140625 + 0.3125t + t2 = -0.9130859375 Factor a perfect square on the left side: (t + 0.15625)(t + 0.15625) = -0.9130859375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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