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Simplifying 220 = 30t + (0.5)(-9.8) * t2 Multiply 0.5 * -9.8 220 = 30t + -4.9t2 Solving 220 = 30t + -4.9t2 Solving for variable 't'. Reorder the terms: 220 + -30t + 4.9t2 = 30t + -30t + -4.9t2 + 4.9t2 Combine like terms: 30t + -30t = 0 220 + -30t + 4.9t2 = 0 + -4.9t2 + 4.9t2 220 + -30t + 4.9t2 = -4.9t2 + 4.9t2 Combine like terms: -4.9t2 + 4.9t2 = 0.0 220 + -30t + 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'. 44.89795918 + -6.12244898t + t2 = 0 Move the constant term to the right: Add '-44.89795918' to each side of the equation. 44.89795918 + -6.12244898t + -44.89795918 + t2 = 0 + -44.89795918 Reorder the terms: 44.89795918 + -44.89795918 + -6.12244898t + t2 = 0 + -44.89795918 Combine like terms: 44.89795918 + -44.89795918 = 0.00000000 0.00000000 + -6.12244898t + t2 = 0 + -44.89795918 -6.12244898t + t2 = 0 + -44.89795918 Combine like terms: 0 + -44.89795918 = -44.89795918 -6.12244898t + t2 = -44.89795918 The t term is -6.12244898t. Take half its coefficient (-3.06122449). Square it (9.371095378) and add it to both sides. Add '9.371095378' to each side of the equation. -6.12244898t + 9.371095378 + t2 = -44.89795918 + 9.371095378 Reorder the terms: 9.371095378 + -6.12244898t + t2 = -44.89795918 + 9.371095378 Combine like terms: -44.89795918 + 9.371095378 = -35.526863802 9.371095378 + -6.12244898t + t2 = -35.526863802 Factor a perfect square on the left side: (t + -3.06122449)(t + -3.06122449) = -35.526863802 Can't calculate square root of the right side. The solution to this equation could not be determined.
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