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Simplifying 2 = -1.6t + -4.9t2 Solving 2 = -1.6t + -4.9t2 Solving for variable 't'. Reorder the terms: 2 + 1.6t + 4.9t2 = -1.6t + 1.6t + -4.9t2 + 4.9t2 Combine like terms: -1.6t + 1.6t = 0.0 2 + 1.6t + 4.9t2 = 0.0 + -4.9t2 + 4.9t2 2 + 1.6t + 4.9t2 = -4.9t2 + 4.9t2 Combine like terms: -4.9t2 + 4.9t2 = 0.0 2 + 1.6t + 4.9t2 = 0.0 Begin completing the square. Divide all terms by 4.9 the coefficient of the squared term: Divide each side by '4.9'. 0.4081632653 + 0.3265306122t + t2 = 0 Move the constant term to the right: Add '-0.4081632653' to each side of the equation. 0.4081632653 + 0.3265306122t + -0.4081632653 + t2 = 0 + -0.4081632653 Reorder the terms: 0.4081632653 + -0.4081632653 + 0.3265306122t + t2 = 0 + -0.4081632653 Combine like terms: 0.4081632653 + -0.4081632653 = 0.0000000000 0.0000000000 + 0.3265306122t + t2 = 0 + -0.4081632653 0.3265306122t + t2 = 0 + -0.4081632653 Combine like terms: 0 + -0.4081632653 = -0.4081632653 0.3265306122t + t2 = -0.4081632653 The t term is 0.3265306122t. Take half its coefficient (0.1632653061). Square it (0.02665556018) and add it to both sides. Add '0.02665556018' to each side of the equation. 0.3265306122t + 0.02665556018 + t2 = -0.4081632653 + 0.02665556018 Reorder the terms: 0.02665556018 + 0.3265306122t + t2 = -0.4081632653 + 0.02665556018 Combine like terms: -0.4081632653 + 0.02665556018 = -0.38150770512 0.02665556018 + 0.3265306122t + t2 = -0.38150770512 Factor a perfect square on the left side: (t + 0.1632653061)(t + 0.1632653061) = -0.38150770512 Can't calculate square root of the right side. The solution to this equation could not be determined.
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