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Simplifying 16t2 + 40t + 125 = 0 Reorder the terms: 125 + 40t + 16t2 = 0 Solving 125 + 40t + 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'. 7.8125 + 2.5t + t2 = 0 Move the constant term to the right: Add '-7.8125' to each side of the equation. 7.8125 + 2.5t + -7.8125 + t2 = 0 + -7.8125 Reorder the terms: 7.8125 + -7.8125 + 2.5t + t2 = 0 + -7.8125 Combine like terms: 7.8125 + -7.8125 = 0.0000 0.0000 + 2.5t + t2 = 0 + -7.8125 2.5t + t2 = 0 + -7.8125 Combine like terms: 0 + -7.8125 = -7.8125 2.5t + t2 = -7.8125 The t term is 2.5t. Take half its coefficient (1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. 2.5t + 1.5625 + t2 = -7.8125 + 1.5625 Reorder the terms: 1.5625 + 2.5t + t2 = -7.8125 + 1.5625 Combine like terms: -7.8125 + 1.5625 = -6.25 1.5625 + 2.5t + t2 = -6.25 Factor a perfect square on the left side: (t + 1.25)(t + 1.25) = -6.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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