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Simplifying 5t2 + 2t + 1.3 = 0 Reorder the terms: 1.3 + 2t + 5t2 = 0 Solving 1.3 + 2t + 5t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 0.26 + 0.4t + t2 = 0 Move the constant term to the right: Add '-0.26' to each side of the equation. 0.26 + 0.4t + -0.26 + t2 = 0 + -0.26 Reorder the terms: 0.26 + -0.26 + 0.4t + t2 = 0 + -0.26 Combine like terms: 0.26 + -0.26 = 0.00 0.00 + 0.4t + t2 = 0 + -0.26 0.4t + t2 = 0 + -0.26 Combine like terms: 0 + -0.26 = -0.26 0.4t + t2 = -0.26 The t term is 0.4t. Take half its coefficient (0.2). Square it (0.04) and add it to both sides. Add '0.04' to each side of the equation. 0.4t + 0.04 + t2 = -0.26 + 0.04 Reorder the terms: 0.04 + 0.4t + t2 = -0.26 + 0.04 Combine like terms: -0.26 + 0.04 = -0.22 0.04 + 0.4t + t2 = -0.22 Factor a perfect square on the left side: (t + 0.2)(t + 0.2) = -0.22 Can't calculate square root of the right side. The solution to this equation could not be determined.
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