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Simplifying (8t2 + -10t + 2) + (8t + 13) = 0 Reorder the terms: (2 + -10t + 8t2) + (8t + 13) = 0 Remove parenthesis around (2 + -10t + 8t2) 2 + -10t + 8t2 + (8t + 13) = 0 Reorder the terms: 2 + -10t + 8t2 + (13 + 8t) = 0 Remove parenthesis around (13 + 8t) 2 + -10t + 8t2 + 13 + 8t = 0 Reorder the terms: 2 + 13 + -10t + 8t + 8t2 = 0 Combine like terms: 2 + 13 = 15 15 + -10t + 8t + 8t2 = 0 Combine like terms: -10t + 8t = -2t 15 + -2t + 8t2 = 0 Solving 15 + -2t + 8t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 1.875 + -0.25t + t2 = 0 Move the constant term to the right: Add '-1.875' to each side of the equation. 1.875 + -0.25t + -1.875 + t2 = 0 + -1.875 Reorder the terms: 1.875 + -1.875 + -0.25t + t2 = 0 + -1.875 Combine like terms: 1.875 + -1.875 = 0.000 0.000 + -0.25t + t2 = 0 + -1.875 -0.25t + t2 = 0 + -1.875 Combine like terms: 0 + -1.875 = -1.875 -0.25t + t2 = -1.875 The t term is -0.25t. Take half its coefficient (-0.125). Square it (0.015625) and add it to both sides. Add '0.015625' to each side of the equation. -0.25t + 0.015625 + t2 = -1.875 + 0.015625 Reorder the terms: 0.015625 + -0.25t + t2 = -1.875 + 0.015625 Combine like terms: -1.875 + 0.015625 = -1.859375 0.015625 + -0.25t + t2 = -1.859375 Factor a perfect square on the left side: (t + -0.125)(t + -0.125) = -1.859375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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