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Simplifying 3.2 = -9.8t(t) + 3.2(t) Multiply t * t 3.2 = -9.8t2 + 3.2(t) Reorder the terms: 3.2 = 3.2t + -9.8t2 Solving 3.2 = 3.2t + -9.8t2 Solving for variable 't'. Reorder the terms: 3.2 + -3.2t + 9.8t2 = 3.2t + -3.2t + -9.8t2 + 9.8t2 Combine like terms: 3.2t + -3.2t = 0.0 3.2 + -3.2t + 9.8t2 = 0.0 + -9.8t2 + 9.8t2 3.2 + -3.2t + 9.8t2 = -9.8t2 + 9.8t2 Combine like terms: -9.8t2 + 9.8t2 = 0.0 3.2 + -3.2t + 9.8t2 = 0.0 Begin completing the square. Divide all terms by 9.8 the coefficient of the squared term: Divide each side by '9.8'. 0.3265306122 + -0.3265306122t + t2 = 0 Move the constant term to the right: Add '-0.3265306122' to each side of the equation. 0.3265306122 + -0.3265306122t + -0.3265306122 + t2 = 0 + -0.3265306122 Reorder the terms: 0.3265306122 + -0.3265306122 + -0.3265306122t + t2 = 0 + -0.3265306122 Combine like terms: 0.3265306122 + -0.3265306122 = 0.0000000000 0.0000000000 + -0.3265306122t + t2 = 0 + -0.3265306122 -0.3265306122t + t2 = 0 + -0.3265306122 Combine like terms: 0 + -0.3265306122 = -0.3265306122 -0.3265306122t + t2 = -0.3265306122 The t term is -0.3265306122t. Take half its coefficient (-0.1632653061). Square it (0.02665556018) and add it to both sides. Add '0.02665556018' to each side of the equation. -0.3265306122t + 0.02665556018 + t2 = -0.3265306122 + 0.02665556018 Reorder the terms: 0.02665556018 + -0.3265306122t + t2 = -0.3265306122 + 0.02665556018 Combine like terms: -0.3265306122 + 0.02665556018 = -0.29987505202 0.02665556018 + -0.3265306122t + t2 = -0.29987505202 Factor a perfect square on the left side: (t + -0.1632653061)(t + -0.1632653061) = -0.29987505202 Can't calculate square root of the right side. The solution to this equation could not be determined.
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