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Simplifying 4.9t2 + 6t = -20 Reorder the terms: 6t + 4.9t2 = -20 Solving 6t + 4.9t2 = -20 Solving for variable 't'. Reorder the terms: 20 + 6t + 4.9t2 = -20 + 20 Combine like terms: -20 + 20 = 0 20 + 6t + 4.9t2 = 0 Begin completing the square. Divide all terms by 4.9 the coefficient of the squared term: Divide each side by '4.9'. 4.081632653 + 1.224489796t + t2 = 0 Move the constant term to the right: Add '-4.081632653' to each side of the equation. 4.081632653 + 1.224489796t + -4.081632653 + t2 = 0 + -4.081632653 Reorder the terms: 4.081632653 + -4.081632653 + 1.224489796t + t2 = 0 + -4.081632653 Combine like terms: 4.081632653 + -4.081632653 = 0.000000000 0.000000000 + 1.224489796t + t2 = 0 + -4.081632653 1.224489796t + t2 = 0 + -4.081632653 Combine like terms: 0 + -4.081632653 = -4.081632653 1.224489796t + t2 = -4.081632653 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 = -4.081632653 + 0.3748438151 Reorder the terms: 0.3748438151 + 1.224489796t + t2 = -4.081632653 + 0.3748438151 Combine like terms: -4.081632653 + 0.3748438151 = -3.7067888379 0.3748438151 + 1.224489796t + t2 = -3.7067888379 Factor a perfect square on the left side: (t + 0.612244898)(t + 0.612244898) = -3.7067888379 Can't calculate square root of the right side. The solution to this equation could not be determined.
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