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Simplifying 39.2 = -16t2 + 29.4t Reorder the terms: 39.2 = 29.4t + -16t2 Solving 39.2 = 29.4t + -16t2 Solving for variable 't'. Reorder the terms: 39.2 + -29.4t + 16t2 = 29.4t + -29.4t + -16t2 + 16t2 Combine like terms: 29.4t + -29.4t = 0.0 39.2 + -29.4t + 16t2 = 0.0 + -16t2 + 16t2 39.2 + -29.4t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 39.2 + -29.4t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 2.45 + -1.8375t + t2 = 0 Move the constant term to the right: Add '-2.45' to each side of the equation. 2.45 + -1.8375t + -2.45 + t2 = 0 + -2.45 Reorder the terms: 2.45 + -2.45 + -1.8375t + t2 = 0 + -2.45 Combine like terms: 2.45 + -2.45 = 0.00 0.00 + -1.8375t + t2 = 0 + -2.45 -1.8375t + t2 = 0 + -2.45 Combine like terms: 0 + -2.45 = -2.45 -1.8375t + t2 = -2.45 The t term is -1.8375t. Take half its coefficient (-0.91875). Square it (0.8441015625) and add it to both sides. Add '0.8441015625' to each side of the equation. -1.8375t + 0.8441015625 + t2 = -2.45 + 0.8441015625 Reorder the terms: 0.8441015625 + -1.8375t + t2 = -2.45 + 0.8441015625 Combine like terms: -2.45 + 0.8441015625 = -1.6058984375 0.8441015625 + -1.8375t + t2 = -1.6058984375 Factor a perfect square on the left side: (t + -0.91875)(t + -0.91875) = -1.6058984375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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