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Simplifying 8t2 + 3t + 24 = 0 Reorder the terms: 24 + 3t + 8t2 = 0 Solving 24 + 3t + 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'. 3 + 0.375t + t2 = 0 Move the constant term to the right: Add '-3' to each side of the equation. 3 + 0.375t + -3 + t2 = 0 + -3 Reorder the terms: 3 + -3 + 0.375t + t2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 0.375t + t2 = 0 + -3 0.375t + t2 = 0 + -3 Combine like terms: 0 + -3 = -3 0.375t + t2 = -3 The t term is 0.375t. Take half its coefficient (0.1875). Square it (0.03515625) and add it to both sides. Add '0.03515625' to each side of the equation. 0.375t + 0.03515625 + t2 = -3 + 0.03515625 Reorder the terms: 0.03515625 + 0.375t + t2 = -3 + 0.03515625 Combine like terms: -3 + 0.03515625 = -2.96484375 0.03515625 + 0.375t + t2 = -2.96484375 Factor a perfect square on the left side: (t + 0.1875)(t + 0.1875) = -2.96484375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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