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Simplifying 25t2 + 8t + 57 = 0 Reorder the terms: 57 + 8t + 25t2 = 0 Solving 57 + 8t + 25t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 25 the coefficient of the squared term: Divide each side by '25'. 2.28 + 0.32t + t2 = 0 Move the constant term to the right: Add '-2.28' to each side of the equation. 2.28 + 0.32t + -2.28 + t2 = 0 + -2.28 Reorder the terms: 2.28 + -2.28 + 0.32t + t2 = 0 + -2.28 Combine like terms: 2.28 + -2.28 = 0.00 0.00 + 0.32t + t2 = 0 + -2.28 0.32t + t2 = 0 + -2.28 Combine like terms: 0 + -2.28 = -2.28 0.32t + t2 = -2.28 The t term is 0.32t. Take half its coefficient (0.16). Square it (0.0256) and add it to both sides. Add '0.0256' to each side of the equation. 0.32t + 0.0256 + t2 = -2.28 + 0.0256 Reorder the terms: 0.0256 + 0.32t + t2 = -2.28 + 0.0256 Combine like terms: -2.28 + 0.0256 = -2.2544 0.0256 + 0.32t + t2 = -2.2544 Factor a perfect square on the left side: (t + 0.16)(t + 0.16) = -2.2544 Can't calculate square root of the right side. The solution to this equation could not be determined.
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