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Simplifying 10 = 4t + -1(4.9t2) Remove parenthesis around (4.9t2) 10 = 4t + -1 * 4.9t2 Multiply -1 * 4.9 10 = 4t + -4.9t2 Solving 10 = 4t + -4.9t2 Solving for variable 't'. Reorder the terms: 10 + -4t + 4.9t2 = 4t + -4t + -4.9t2 + 4.9t2 Combine like terms: 4t + -4t = 0 10 + -4t + 4.9t2 = 0 + -4.9t2 + 4.9t2 10 + -4t + 4.9t2 = -4.9t2 + 4.9t2 Combine like terms: -4.9t2 + 4.9t2 = 0.0 10 + -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'. 2.040816327 + -0.8163265306t + t2 = 0 Move the constant term to the right: Add '-2.040816327' to each side of the equation. 2.040816327 + -0.8163265306t + -2.040816327 + t2 = 0 + -2.040816327 Reorder the terms: 2.040816327 + -2.040816327 + -0.8163265306t + t2 = 0 + -2.040816327 Combine like terms: 2.040816327 + -2.040816327 = 0.000000000 0.000000000 + -0.8163265306t + t2 = 0 + -2.040816327 -0.8163265306t + t2 = 0 + -2.040816327 Combine like terms: 0 + -2.040816327 = -2.040816327 -0.8163265306t + t2 = -2.040816327 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 = -2.040816327 + 0.1665972511 Reorder the terms: 0.1665972511 + -0.8163265306t + t2 = -2.040816327 + 0.1665972511 Combine like terms: -2.040816327 + 0.1665972511 = -1.8742190759 0.1665972511 + -0.8163265306t + t2 = -1.8742190759 Factor a perfect square on the left side: (t + -0.4081632653)(t + -0.4081632653) = -1.8742190759 Can't calculate square root of the right side. The solution to this equation could not be determined.
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