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Simplifying 4.9t2 + 5.7t + 15 = 0 Reorder the terms: 15 + 5.7t + 4.9t2 = 0 Solving 15 + 5.7t + 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'. 3.06122449 + 1.163265306t + t2 = 0 Move the constant term to the right: Add '-3.06122449' to each side of the equation. 3.06122449 + 1.163265306t + -3.06122449 + t2 = 0 + -3.06122449 Reorder the terms: 3.06122449 + -3.06122449 + 1.163265306t + t2 = 0 + -3.06122449 Combine like terms: 3.06122449 + -3.06122449 = 0.00000000 0.00000000 + 1.163265306t + t2 = 0 + -3.06122449 1.163265306t + t2 = 0 + -3.06122449 Combine like terms: 0 + -3.06122449 = -3.06122449 1.163265306t + t2 = -3.06122449 The t term is 1.163265306t. Take half its coefficient (0.581632653). Square it (0.3382965430) and add it to both sides. Add '0.3382965430' to each side of the equation. 1.163265306t + 0.3382965430 + t2 = -3.06122449 + 0.3382965430 Reorder the terms: 0.3382965430 + 1.163265306t + t2 = -3.06122449 + 0.3382965430 Combine like terms: -3.06122449 + 0.3382965430 = -2.722927947 0.3382965430 + 1.163265306t + t2 = -2.722927947 Factor a perfect square on the left side: (t + 0.581632653)(t + 0.581632653) = -2.722927947 Can't calculate square root of the right side. The solution to this equation could not be determined.
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