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Simplifying 12t2 + 48t + 55 = 0 Reorder the terms: 55 + 48t + 12t2 = 0 Solving 55 + 48t + 12t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. 4.583333333 + 4t + t2 = 0 Move the constant term to the right: Add '-4.583333333' to each side of the equation. 4.583333333 + 4t + -4.583333333 + t2 = 0 + -4.583333333 Reorder the terms: 4.583333333 + -4.583333333 + 4t + t2 = 0 + -4.583333333 Combine like terms: 4.583333333 + -4.583333333 = 0.000000000 0.000000000 + 4t + t2 = 0 + -4.583333333 4t + t2 = 0 + -4.583333333 Combine like terms: 0 + -4.583333333 = -4.583333333 4t + t2 = -4.583333333 The t term is 4t. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4t + 4 + t2 = -4.583333333 + 4 Reorder the terms: 4 + 4t + t2 = -4.583333333 + 4 Combine like terms: -4.583333333 + 4 = -0.583333333 4 + 4t + t2 = -0.583333333 Factor a perfect square on the left side: (t + 2)(t + 2) = -0.583333333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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