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Simplifying 0 = 4.9t * t + 4t + 1.2 Multiply t * t 0 = 4.9t2 + 4t + 1.2 Reorder the terms: 0 = 1.2 + 4t + 4.9t2 Solving 0 = 1.2 + 4t + 4.9t2 Solving for variable 't'. Combine like terms: 0 + -1.2 = -1.2 -1.2 + -4t + -4.9t2 = 1.2 + 4t + 4.9t2 + -1.2 + -4t + -4.9t2 Reorder the terms: -1.2 + -4t + -4.9t2 = 1.2 + -1.2 + 4t + -4t + 4.9t2 + -4.9t2 Combine like terms: 1.2 + -1.2 = 0.0 -1.2 + -4t + -4.9t2 = 0.0 + 4t + -4t + 4.9t2 + -4.9t2 -1.2 + -4t + -4.9t2 = 4t + -4t + 4.9t2 + -4.9t2 Combine like terms: 4t + -4t = 0 -1.2 + -4t + -4.9t2 = 0 + 4.9t2 + -4.9t2 -1.2 + -4t + -4.9t2 = 4.9t2 + -4.9t2 Combine like terms: 4.9t2 + -4.9t2 = 0.0 -1.2 + -4t + -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'. 0.2448979592 + 0.8163265306t + t2 = 0 Move the constant term to the right: Add '-0.2448979592' to each side of the equation. 0.2448979592 + 0.8163265306t + -0.2448979592 + t2 = 0 + -0.2448979592 Reorder the terms: 0.2448979592 + -0.2448979592 + 0.8163265306t + t2 = 0 + -0.2448979592 Combine like terms: 0.2448979592 + -0.2448979592 = 0.0000000000 0.0000000000 + 0.8163265306t + t2 = 0 + -0.2448979592 0.8163265306t + t2 = 0 + -0.2448979592 Combine like terms: 0 + -0.2448979592 = -0.2448979592 0.8163265306t + t2 = -0.2448979592 The t term is 0.8163265306t. Take half its coefficient (0.4081632653). Square it (0.1665972511) and add it to both sides. Add '0.1665972511' to each side of the equation. 0.8163265306t + 0.1665972511 + t2 = -0.2448979592 + 0.1665972511 Reorder the terms: 0.1665972511 + 0.8163265306t + t2 = -0.2448979592 + 0.1665972511 Combine like terms: -0.2448979592 + 0.1665972511 = -0.0783007081 0.1665972511 + 0.8163265306t + t2 = -0.0783007081 Factor a perfect square on the left side: (t + 0.4081632653)(t + 0.4081632653) = -0.0783007081 Can't calculate square root of the right side. The solution to this equation could not be determined.
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