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Simplifying 2t2 + -12t + 97 = 0 Reorder the terms: 97 + -12t + 2t2 = 0 Solving 97 + -12t + 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'. 48.5 + -6t + t2 = 0 Move the constant term to the right: Add '-48.5' to each side of the equation. 48.5 + -6t + -48.5 + t2 = 0 + -48.5 Reorder the terms: 48.5 + -48.5 + -6t + t2 = 0 + -48.5 Combine like terms: 48.5 + -48.5 = 0.0 0.0 + -6t + t2 = 0 + -48.5 -6t + t2 = 0 + -48.5 Combine like terms: 0 + -48.5 = -48.5 -6t + t2 = -48.5 The t term is -6t. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6t + 9 + t2 = -48.5 + 9 Reorder the terms: 9 + -6t + t2 = -48.5 + 9 Combine like terms: -48.5 + 9 = -39.5 9 + -6t + t2 = -39.5 Factor a perfect square on the left side: (t + -3)(t + -3) = -39.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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