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Simplifying 4.9t2 + -5t = -12 Reorder the terms: -5t + 4.9t2 = -12 Solving -5t + 4.9t2 = -12 Solving for variable 't'. Reorder the terms: 12 + -5t + 4.9t2 = -12 + 12 Combine like terms: -12 + 12 = 0 12 + -5t + 4.9t2 = 0 Begin completing the square. Divide all terms by 4.9 the coefficient of the squared term: Divide each side by '4.9'. 2.448979592 + -1.020408163t + t2 = 0 Move the constant term to the right: Add '-2.448979592' to each side of the equation. 2.448979592 + -1.020408163t + -2.448979592 + t2 = 0 + -2.448979592 Reorder the terms: 2.448979592 + -2.448979592 + -1.020408163t + t2 = 0 + -2.448979592 Combine like terms: 2.448979592 + -2.448979592 = 0.000000000 0.000000000 + -1.020408163t + t2 = 0 + -2.448979592 -1.020408163t + t2 = 0 + -2.448979592 Combine like terms: 0 + -2.448979592 = -2.448979592 -1.020408163t + t2 = -2.448979592 The t term is -1.020408163t. Take half its coefficient (-0.5102040815). Square it (0.2603082048) and add it to both sides. Add '0.2603082048' to each side of the equation. -1.020408163t + 0.2603082048 + t2 = -2.448979592 + 0.2603082048 Reorder the terms: 0.2603082048 + -1.020408163t + t2 = -2.448979592 + 0.2603082048 Combine like terms: -2.448979592 + 0.2603082048 = -2.1886713872 0.2603082048 + -1.020408163t + t2 = -2.1886713872 Factor a perfect square on the left side: (t + -0.5102040815)(t + -0.5102040815) = -2.1886713872 Can't calculate square root of the right side. The solution to this equation could not be determined.
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