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Simplifying 4.9t2 + 1.5t + 41 = 0 Reorder the terms: 41 + 1.5t + 4.9t2 = 0 Solving 41 + 1.5t + 4.9t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 4.9 the coefficient of the squared term: Divide each side by '4.9'. 8.367346939 + 0.306122449t + t2 = 0 Move the constant term to the right: Add '-8.367346939' to each side of the equation. 8.367346939 + 0.306122449t + -8.367346939 + t2 = 0 + -8.367346939 Reorder the terms: 8.367346939 + -8.367346939 + 0.306122449t + t2 = 0 + -8.367346939 Combine like terms: 8.367346939 + -8.367346939 = 0.000000000 0.000000000 + 0.306122449t + t2 = 0 + -8.367346939 0.306122449t + t2 = 0 + -8.367346939 Combine like terms: 0 + -8.367346939 = -8.367346939 0.306122449t + t2 = -8.367346939 The t term is 0.306122449t. Take half its coefficient (0.1530612245). Square it (0.02342773845) and add it to both sides. Add '0.02342773845' to each side of the equation. 0.306122449t + 0.02342773845 + t2 = -8.367346939 + 0.02342773845 Reorder the terms: 0.02342773845 + 0.306122449t + t2 = -8.367346939 + 0.02342773845 Combine like terms: -8.367346939 + 0.02342773845 = -8.34391920055 0.02342773845 + 0.306122449t + t2 = -8.34391920055 Factor a perfect square on the left side: (t + 0.1530612245)(t + 0.1530612245) = -8.34391920055 Can't calculate square root of the right side. The solution to this equation could not be determined.
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