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Simplifying 3t2 + 8t + 5 = -2t2 Reorder the terms: 5 + 8t + 3t2 = -2t2 Solving 5 + 8t + 3t2 = -2t2 Solving for variable 't'. Combine like terms: 3t2 + 2t2 = 5t2 5 + 8t + 5t2 = -2t2 + 2t2 Combine like terms: -2t2 + 2t2 = 0 5 + 8t + 5t2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 1 + 1.6t + t2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + 1.6t + -1 + t2 = 0 + -1 Reorder the terms: 1 + -1 + 1.6t + t2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 1.6t + t2 = 0 + -1 1.6t + t2 = 0 + -1 Combine like terms: 0 + -1 = -1 1.6t + t2 = -1 The t term is 1.6t. Take half its coefficient (0.8). Square it (0.64) and add it to both sides. Add '0.64' to each side of the equation. 1.6t + 0.64 + t2 = -1 + 0.64 Reorder the terms: 0.64 + 1.6t + t2 = -1 + 0.64 Combine like terms: -1 + 0.64 = -0.36 0.64 + 1.6t + t2 = -0.36 Factor a perfect square on the left side: (t + 0.8)(t + 0.8) = -0.36 Can't calculate square root of the right side. The solution to this equation could not be determined.
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