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Simplifying (7t2 + -6t + 2) + (-5t2 + t + 4) = 0 Reorder the terms: (2 + -6t + 7t2) + (-5t2 + t + 4) = 0 Remove parenthesis around (2 + -6t + 7t2) 2 + -6t + 7t2 + (-5t2 + t + 4) = 0 Reorder the terms: 2 + -6t + 7t2 + (4 + t + -5t2) = 0 Remove parenthesis around (4 + t + -5t2) 2 + -6t + 7t2 + 4 + t + -5t2 = 0 Reorder the terms: 2 + 4 + -6t + t + 7t2 + -5t2 = 0 Combine like terms: 2 + 4 = 6 6 + -6t + t + 7t2 + -5t2 = 0 Combine like terms: -6t + t = -5t 6 + -5t + 7t2 + -5t2 = 0 Combine like terms: 7t2 + -5t2 = 2t2 6 + -5t + 2t2 = 0 Solving 6 + -5t + 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'. 3 + -2.5t + t2 = 0 Move the constant term to the right: Add '-3' to each side of the equation. 3 + -2.5t + -3 + t2 = 0 + -3 Reorder the terms: 3 + -3 + -2.5t + t2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2.5t + t2 = 0 + -3 -2.5t + t2 = 0 + -3 Combine like terms: 0 + -3 = -3 -2.5t + t2 = -3 The t term is -2.5t. Take half its coefficient (-1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. -2.5t + 1.5625 + t2 = -3 + 1.5625 Reorder the terms: 1.5625 + -2.5t + t2 = -3 + 1.5625 Combine like terms: -3 + 1.5625 = -1.4375 1.5625 + -2.5t + t2 = -1.4375 Factor a perfect square on the left side: (t + -1.25)(t + -1.25) = -1.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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