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Simplifying 40t2 + 8t + 5 = 0 Reorder the terms: 5 + 8t + 40t2 = 0 Solving 5 + 8t + 40t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 40 the coefficient of the squared term: Divide each side by '40'. 0.125 + 0.2t + t2 = 0 Move the constant term to the right: Add '-0.125' to each side of the equation. 0.125 + 0.2t + -0.125 + t2 = 0 + -0.125 Reorder the terms: 0.125 + -0.125 + 0.2t + t2 = 0 + -0.125 Combine like terms: 0.125 + -0.125 = 0.000 0.000 + 0.2t + t2 = 0 + -0.125 0.2t + t2 = 0 + -0.125 Combine like terms: 0 + -0.125 = -0.125 0.2t + t2 = -0.125 The t term is 0.2t. Take half its coefficient (0.1). Square it (0.01) and add it to both sides. Add '0.01' to each side of the equation. 0.2t + 0.01 + t2 = -0.125 + 0.01 Reorder the terms: 0.01 + 0.2t + t2 = -0.125 + 0.01 Combine like terms: -0.125 + 0.01 = -0.115 0.01 + 0.2t + t2 = -0.115 Factor a perfect square on the left side: (t + 0.1)(t + 0.1) = -0.115 Can't calculate square root of the right side. The solution to this equation could not be determined.
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