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Simplifying -5 = 8.5t + 5t2 Solving -5 = 8.5t + 5t2 Solving for variable 't'. Reorder the terms: -5 + -8.5t + -5t2 = 8.5t + -8.5t + 5t2 + -5t2 Combine like terms: 8.5t + -8.5t = 0.0 -5 + -8.5t + -5t2 = 0.0 + 5t2 + -5t2 -5 + -8.5t + -5t2 = 5t2 + -5t2 Combine like terms: 5t2 + -5t2 = 0 -5 + -8.5t + -5t2 = 0 Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. 1 + 1.7t + t2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + 1.7t + -1 + t2 = 0 + -1 Reorder the terms: 1 + -1 + 1.7t + t2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 1.7t + t2 = 0 + -1 1.7t + t2 = 0 + -1 Combine like terms: 0 + -1 = -1 1.7t + t2 = -1 The t term is 1.7t. Take half its coefficient (0.85). Square it (0.7225) and add it to both sides. Add '0.7225' to each side of the equation. 1.7t + 0.7225 + t2 = -1 + 0.7225 Reorder the terms: 0.7225 + 1.7t + t2 = -1 + 0.7225 Combine like terms: -1 + 0.7225 = -0.2775 0.7225 + 1.7t + t2 = -0.2775 Factor a perfect square on the left side: (t + 0.85)(t + 0.85) = -0.2775 Can't calculate square root of the right side. The solution to this equation could not be determined.
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