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Simplifying 0 = 4.9(t2) + 6t + 2 Reorder the terms: 0 = 2 + 6t + 4.9t2 Solving 0 = 2 + 6t + 4.9t2 Solving for variable 't'. Combine like terms: 0 + -2 = -2 -2 + -6t + -4.9t2 = 2 + 6t + 4.9t2 + -2 + -6t + -4.9t2 Reorder the terms: -2 + -6t + -4.9t2 = 2 + -2 + 6t + -6t + 4.9t2 + -4.9t2 Combine like terms: 2 + -2 = 0 -2 + -6t + -4.9t2 = 0 + 6t + -6t + 4.9t2 + -4.9t2 -2 + -6t + -4.9t2 = 6t + -6t + 4.9t2 + -4.9t2 Combine like terms: 6t + -6t = 0 -2 + -6t + -4.9t2 = 0 + 4.9t2 + -4.9t2 -2 + -6t + -4.9t2 = 4.9t2 + -4.9t2 Combine like terms: 4.9t2 + -4.9t2 = 0.0 -2 + -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 + 1.224489796t + t2 = 0 Move the constant term to the right: Add '-0.4081632653' to each side of the equation. 0.4081632653 + 1.224489796t + -0.4081632653 + t2 = 0 + -0.4081632653 Reorder the terms: 0.4081632653 + -0.4081632653 + 1.224489796t + t2 = 0 + -0.4081632653 Combine like terms: 0.4081632653 + -0.4081632653 = 0.0000000000 0.0000000000 + 1.224489796t + t2 = 0 + -0.4081632653 1.224489796t + t2 = 0 + -0.4081632653 Combine like terms: 0 + -0.4081632653 = -0.4081632653 1.224489796t + t2 = -0.4081632653 The t term is 1.224489796t. Take half its coefficient (0.612244898). Square it (0.3748438151) and add it to both sides. Add '0.3748438151' to each side of the equation. 1.224489796t + 0.3748438151 + t2 = -0.4081632653 + 0.3748438151 Reorder the terms: 0.3748438151 + 1.224489796t + t2 = -0.4081632653 + 0.3748438151 Combine like terms: -0.4081632653 + 0.3748438151 = -0.0333194502 0.3748438151 + 1.224489796t + t2 = -0.0333194502 Factor a perfect square on the left side: (t + 0.612244898)(t + 0.612244898) = -0.0333194502 Can't calculate square root of the right side. The solution to this equation could not be determined.
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