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Simplifying 60 = 3.5t + -0.5t2 Solving 60 = 3.5t + -0.5t2 Solving for variable 't'. Reorder the terms: 60 + -3.5t + 0.5t2 = 3.5t + -3.5t + -0.5t2 + 0.5t2 Combine like terms: 3.5t + -3.5t = 0.0 60 + -3.5t + 0.5t2 = 0.0 + -0.5t2 + 0.5t2 60 + -3.5t + 0.5t2 = -0.5t2 + 0.5t2 Combine like terms: -0.5t2 + 0.5t2 = 0.0 60 + -3.5t + 0.5t2 = 0.0 Begin completing the square. Divide all terms by 0.5 the coefficient of the squared term: Divide each side by '0.5'. 120 + -7t + t2 = 0 Move the constant term to the right: Add '-120' to each side of the equation. 120 + -7t + -120 + t2 = 0 + -120 Reorder the terms: 120 + -120 + -7t + t2 = 0 + -120 Combine like terms: 120 + -120 = 0 0 + -7t + t2 = 0 + -120 -7t + t2 = 0 + -120 Combine like terms: 0 + -120 = -120 -7t + t2 = -120 The t term is -7t. Take half its coefficient (-3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. -7t + 12.25 + t2 = -120 + 12.25 Reorder the terms: 12.25 + -7t + t2 = -120 + 12.25 Combine like terms: -120 + 12.25 = -107.75 12.25 + -7t + t2 = -107.75 Factor a perfect square on the left side: (t + -3.5)(t + -3.5) = -107.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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