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Simplifying 60 = 33t + -5t2 Solving 60 = 33t + -5t2 Solving for variable 't'. Reorder the terms: 60 + -33t + 5t2 = 33t + -33t + -5t2 + 5t2 Combine like terms: 33t + -33t = 0 60 + -33t + 5t2 = 0 + -5t2 + 5t2 60 + -33t + 5t2 = -5t2 + 5t2 Combine like terms: -5t2 + 5t2 = 0 60 + -33t + 5t2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 12 + -6.6t + t2 = 0 Move the constant term to the right: Add '-12' to each side of the equation. 12 + -6.6t + -12 + t2 = 0 + -12 Reorder the terms: 12 + -12 + -6.6t + t2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -6.6t + t2 = 0 + -12 -6.6t + t2 = 0 + -12 Combine like terms: 0 + -12 = -12 -6.6t + t2 = -12 The t term is -6.6t. Take half its coefficient (-3.3). Square it (10.89) and add it to both sides. Add '10.89' to each side of the equation. -6.6t + 10.89 + t2 = -12 + 10.89 Reorder the terms: 10.89 + -6.6t + t2 = -12 + 10.89 Combine like terms: -12 + 10.89 = -1.11 10.89 + -6.6t + t2 = -1.11 Factor a perfect square on the left side: (t + -3.3)(t + -3.3) = -1.11 Can't calculate square root of the right side. The solution to this equation could not be determined.
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