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Simplifying 61.5 = 35t + -5t2 Solving 61.5 = 35t + -5t2 Solving for variable 't'. Reorder the terms: 61.5 + -35t + 5t2 = 35t + -35t + -5t2 + 5t2 Combine like terms: 35t + -35t = 0 61.5 + -35t + 5t2 = 0 + -5t2 + 5t2 61.5 + -35t + 5t2 = -5t2 + 5t2 Combine like terms: -5t2 + 5t2 = 0 61.5 + -35t + 5t2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 12.3 + -7t + t2 = 0 Move the constant term to the right: Add '-12.3' to each side of the equation. 12.3 + -7t + -12.3 + t2 = 0 + -12.3 Reorder the terms: 12.3 + -12.3 + -7t + t2 = 0 + -12.3 Combine like terms: 12.3 + -12.3 = 0.0 0.0 + -7t + t2 = 0 + -12.3 -7t + t2 = 0 + -12.3 Combine like terms: 0 + -12.3 = -12.3 -7t + t2 = -12.3 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 = -12.3 + 12.25 Reorder the terms: 12.25 + -7t + t2 = -12.3 + 12.25 Combine like terms: -12.3 + 12.25 = -0.05 12.25 + -7t + t2 = -0.05 Factor a perfect square on the left side: (t + -3.5)(t + -3.5) = -0.05 Can't calculate square root of the right side. The solution to this equation could not be determined.
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