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Simplifying 5.5t2 + 44t + 160 = 0 Reorder the terms: 160 + 44t + 5.5t2 = 0 Solving 160 + 44t + 5.5t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 5.5 the coefficient of the squared term: Divide each side by '5.5'. 29.09090909 + 8t + t2 = 0 Move the constant term to the right: Add '-29.09090909' to each side of the equation. 29.09090909 + 8t + -29.09090909 + t2 = 0 + -29.09090909 Reorder the terms: 29.09090909 + -29.09090909 + 8t + t2 = 0 + -29.09090909 Combine like terms: 29.09090909 + -29.09090909 = 0.00000000 0.00000000 + 8t + t2 = 0 + -29.09090909 8t + t2 = 0 + -29.09090909 Combine like terms: 0 + -29.09090909 = -29.09090909 8t + t2 = -29.09090909 The t term is 8t. Take half its coefficient (4). Square it (16) and add it to both sides. Add '16' to each side of the equation. 8t + 16 + t2 = -29.09090909 + 16 Reorder the terms: 16 + 8t + t2 = -29.09090909 + 16 Combine like terms: -29.09090909 + 16 = -13.09090909 16 + 8t + t2 = -13.09090909 Factor a perfect square on the left side: (t + 4)(t + 4) = -13.09090909 Can't calculate square root of the right side. The solution to this equation could not be determined.
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