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Simplifying 4.9t2 + 2.5t + 1 = 0 Reorder the terms: 1 + 2.5t + 4.9t2 = 0 Solving 1 + 2.5t + 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'. 0.2040816327 + 0.5102040816t + t2 = 0 Move the constant term to the right: Add '-0.2040816327' to each side of the equation. 0.2040816327 + 0.5102040816t + -0.2040816327 + t2 = 0 + -0.2040816327 Reorder the terms: 0.2040816327 + -0.2040816327 + 0.5102040816t + t2 = 0 + -0.2040816327 Combine like terms: 0.2040816327 + -0.2040816327 = 0.0000000000 0.0000000000 + 0.5102040816t + t2 = 0 + -0.2040816327 0.5102040816t + t2 = 0 + -0.2040816327 Combine like terms: 0 + -0.2040816327 = -0.2040816327 0.5102040816t + t2 = -0.2040816327 The t term is 0.5102040816t. Take half its coefficient (0.2551020408). Square it (0.06507705122) and add it to both sides. Add '0.06507705122' to each side of the equation. 0.5102040816t + 0.06507705122 + t2 = -0.2040816327 + 0.06507705122 Reorder the terms: 0.06507705122 + 0.5102040816t + t2 = -0.2040816327 + 0.06507705122 Combine like terms: -0.2040816327 + 0.06507705122 = -0.13900458148 0.06507705122 + 0.5102040816t + t2 = -0.13900458148 Factor a perfect square on the left side: (t + 0.2551020408)(t + 0.2551020408) = -0.13900458148 Can't calculate square root of the right side. The solution to this equation could not be determined.
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