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Simplifying -4.9t2 + 15t + -40 = 0 Reorder the terms: -40 + 15t + -4.9t2 = 0 Solving -40 + 15t + -4.9t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by -4.9 the coefficient of the squared term: Divide each side by '-4.9'. 8.163265306 + -3.06122449t + t2 = 0 Move the constant term to the right: Add '-8.163265306' to each side of the equation. 8.163265306 + -3.06122449t + -8.163265306 + t2 = 0 + -8.163265306 Reorder the terms: 8.163265306 + -8.163265306 + -3.06122449t + t2 = 0 + -8.163265306 Combine like terms: 8.163265306 + -8.163265306 = 0.000000000 0.000000000 + -3.06122449t + t2 = 0 + -8.163265306 -3.06122449t + t2 = 0 + -8.163265306 Combine like terms: 0 + -8.163265306 = -8.163265306 -3.06122449t + t2 = -8.163265306 The t term is -3.06122449t. Take half its coefficient (-1.530612245). Square it (2.342773845) and add it to both sides. Add '2.342773845' to each side of the equation. -3.06122449t + 2.342773845 + t2 = -8.163265306 + 2.342773845 Reorder the terms: 2.342773845 + -3.06122449t + t2 = -8.163265306 + 2.342773845 Combine like terms: -8.163265306 + 2.342773845 = -5.820491461 2.342773845 + -3.06122449t + t2 = -5.820491461 Factor a perfect square on the left side: (t + -1.530612245)(t + -1.530612245) = -5.820491461 Can't calculate square root of the right side. The solution to this equation could not be determined.
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