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Simplifying 0 = 24.5t + -16t2 + -19.6 Reorder the terms: 0 = -19.6 + 24.5t + -16t2 Solving 0 = -19.6 + 24.5t + -16t2 Solving for variable 't'. Combine like terms: 0 + 19.6 = 19.6 19.6 + -24.5t + 16t2 = -19.6 + 24.5t + -16t2 + 19.6 + -24.5t + 16t2 Reorder the terms: 19.6 + -24.5t + 16t2 = -19.6 + 19.6 + 24.5t + -24.5t + -16t2 + 16t2 Combine like terms: -19.6 + 19.6 = 0.0 19.6 + -24.5t + 16t2 = 0.0 + 24.5t + -24.5t + -16t2 + 16t2 19.6 + -24.5t + 16t2 = 24.5t + -24.5t + -16t2 + 16t2 Combine like terms: 24.5t + -24.5t = 0.0 19.6 + -24.5t + 16t2 = 0.0 + -16t2 + 16t2 19.6 + -24.5t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 19.6 + -24.5t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 1.225 + -1.53125t + t2 = 0 Move the constant term to the right: Add '-1.225' to each side of the equation. 1.225 + -1.53125t + -1.225 + t2 = 0 + -1.225 Reorder the terms: 1.225 + -1.225 + -1.53125t + t2 = 0 + -1.225 Combine like terms: 1.225 + -1.225 = 0.000 0.000 + -1.53125t + t2 = 0 + -1.225 -1.53125t + t2 = 0 + -1.225 Combine like terms: 0 + -1.225 = -1.225 -1.53125t + t2 = -1.225 The t term is -1.53125t. Take half its coefficient (-0.765625). Square it (0.5861816406) and add it to both sides. Add '0.5861816406' to each side of the equation. -1.53125t + 0.5861816406 + t2 = -1.225 + 0.5861816406 Reorder the terms: 0.5861816406 + -1.53125t + t2 = -1.225 + 0.5861816406 Combine like terms: -1.225 + 0.5861816406 = -0.6388183594 0.5861816406 + -1.53125t + t2 = -0.6388183594 Factor a perfect square on the left side: (t + -0.765625)(t + -0.765625) = -0.6388183594 Can't calculate square root of the right side. The solution to this equation could not be determined.
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