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Simplifying 0 = -56 + 33.13t + -4.9t2 Solving 0 = -56 + 33.13t + -4.9t2 Solving for variable 't'. Combine like terms: 0 + 56 = 56 56 + -33.13t + 4.9t2 = -56 + 33.13t + -4.9t2 + 56 + -33.13t + 4.9t2 Reorder the terms: 56 + -33.13t + 4.9t2 = -56 + 56 + 33.13t + -33.13t + -4.9t2 + 4.9t2 Combine like terms: -56 + 56 = 0 56 + -33.13t + 4.9t2 = 0 + 33.13t + -33.13t + -4.9t2 + 4.9t2 56 + -33.13t + 4.9t2 = 33.13t + -33.13t + -4.9t2 + 4.9t2 Combine like terms: 33.13t + -33.13t = 0.00 56 + -33.13t + 4.9t2 = 0.00 + -4.9t2 + 4.9t2 56 + -33.13t + 4.9t2 = -4.9t2 + 4.9t2 Combine like terms: -4.9t2 + 4.9t2 = 0.0 56 + -33.13t + 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'. 11.42857143 + -6.76122449t + t2 = 0 Move the constant term to the right: Add '-11.42857143' to each side of the equation. 11.42857143 + -6.76122449t + -11.42857143 + t2 = 0 + -11.42857143 Reorder the terms: 11.42857143 + -11.42857143 + -6.76122449t + t2 = 0 + -11.42857143 Combine like terms: 11.42857143 + -11.42857143 = 0.00000000 0.00000000 + -6.76122449t + t2 = 0 + -11.42857143 -6.76122449t + t2 = 0 + -11.42857143 Combine like terms: 0 + -11.42857143 = -11.42857143 -6.76122449t + t2 = -11.42857143 The t term is -6.76122449t. Take half its coefficient (-3.380612245). Square it (11.42853915) and add it to both sides. Add '11.42853915' to each side of the equation. -6.76122449t + 11.42853915 + t2 = -11.42857143 + 11.42853915 Reorder the terms: 11.42853915 + -6.76122449t + t2 = -11.42857143 + 11.42853915 Combine like terms: -11.42857143 + 11.42853915 = -0.00003228 11.42853915 + -6.76122449t + t2 = -0.00003228 Factor a perfect square on the left side: (t + -3.380612245)(t + -3.380612245) = -0.00003228 Can't calculate square root of the right side. The solution to this equation could not be determined.
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