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Simplifying -10 + -1t(t + -8) + -2t = 0 Reorder the terms: -10 + -1t(-8 + t) + -2t = 0 -10 + (-8 * -1t + t * -1t) + -2t = 0 -10 + (8t + -1t2) + -2t = 0 Reorder the terms: -10 + 8t + -2t + -1t2 = 0 Combine like terms: 8t + -2t = 6t -10 + 6t + -1t2 = 0 Solving -10 + 6t + -1t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 10 + -6t + t2 = 0 Move the constant term to the right: Add '-10' to each side of the equation. 10 + -6t + -10 + t2 = 0 + -10 Reorder the terms: 10 + -10 + -6t + t2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -6t + t2 = 0 + -10 -6t + t2 = 0 + -10 Combine like terms: 0 + -10 = -10 -6t + t2 = -10 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 = -10 + 9 Reorder the terms: 9 + -6t + t2 = -10 + 9 Combine like terms: -10 + 9 = -1 9 + -6t + t2 = -1 Factor a perfect square on the left side: (t + -3)(t + -3) = -1 Can't calculate square root of the right side. The solution to this equation could not be determined.
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