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Simplifying 2t2 + -21t + 60 = 0 Reorder the terms: 60 + -21t + 2t2 = 0 Solving 60 + -21t + 2t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 30 + -10.5t + t2 = 0 Move the constant term to the right: Add '-30' to each side of the equation. 30 + -10.5t + -30 + t2 = 0 + -30 Reorder the terms: 30 + -30 + -10.5t + t2 = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -10.5t + t2 = 0 + -30 -10.5t + t2 = 0 + -30 Combine like terms: 0 + -30 = -30 -10.5t + t2 = -30 The t term is -10.5t. Take half its coefficient (-5.25). Square it (27.5625) and add it to both sides. Add '27.5625' to each side of the equation. -10.5t + 27.5625 + t2 = -30 + 27.5625 Reorder the terms: 27.5625 + -10.5t + t2 = -30 + 27.5625 Combine like terms: -30 + 27.5625 = -2.4375 27.5625 + -10.5t + t2 = -2.4375 Factor a perfect square on the left side: (t + -5.25)(t + -5.25) = -2.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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