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Simplifying -40 = 4.9t2 + -17t Reorder the terms: -40 = -17t + 4.9t2 Solving -40 = -17t + 4.9t2 Solving for variable 't'. Reorder the terms: -40 + 17t + -4.9t2 = -17t + 17t + 4.9t2 + -4.9t2 Combine like terms: -17t + 17t = 0 -40 + 17t + -4.9t2 = 0 + 4.9t2 + -4.9t2 -40 + 17t + -4.9t2 = 4.9t2 + -4.9t2 Combine like terms: 4.9t2 + -4.9t2 = 0.0 -40 + 17t + -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'. 8.163265306 + -3.469387755t + t2 = 0 Move the constant term to the right: Add '-8.163265306' to each side of the equation. 8.163265306 + -3.469387755t + -8.163265306 + t2 = 0 + -8.163265306 Reorder the terms: 8.163265306 + -8.163265306 + -3.469387755t + t2 = 0 + -8.163265306 Combine like terms: 8.163265306 + -8.163265306 = 0.000000000 0.000000000 + -3.469387755t + t2 = 0 + -8.163265306 -3.469387755t + t2 = 0 + -8.163265306 Combine like terms: 0 + -8.163265306 = -8.163265306 -3.469387755t + t2 = -8.163265306 The t term is -3.469387755t. Take half its coefficient (-1.734693878). Square it (3.009162850) and add it to both sides. Add '3.009162850' to each side of the equation. -3.469387755t + 3.009162850 + t2 = -8.163265306 + 3.009162850 Reorder the terms: 3.009162850 + -3.469387755t + t2 = -8.163265306 + 3.009162850 Combine like terms: -8.163265306 + 3.009162850 = -5.154102456 3.009162850 + -3.469387755t + t2 = -5.154102456 Factor a perfect square on the left side: (t + -1.734693878)(t + -1.734693878) = -5.154102456 Can't calculate square root of the right side. The solution to this equation could not be determined.
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