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Simplifying 5t2 + -17t + 20 = 0 Reorder the terms: 20 + -17t + 5t2 = 0 Solving 20 + -17t + 5t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 4 + -3.4t + t2 = 0 Move the constant term to the right: Add '-4' to each side of the equation. 4 + -3.4t + -4 + t2 = 0 + -4 Reorder the terms: 4 + -4 + -3.4t + t2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3.4t + t2 = 0 + -4 -3.4t + t2 = 0 + -4 Combine like terms: 0 + -4 = -4 -3.4t + t2 = -4 The t term is -3.4t. Take half its coefficient (-1.7). Square it (2.89) and add it to both sides. Add '2.89' to each side of the equation. -3.4t + 2.89 + t2 = -4 + 2.89 Reorder the terms: 2.89 + -3.4t + t2 = -4 + 2.89 Combine like terms: -4 + 2.89 = -1.11 2.89 + -3.4t + t2 = -1.11 Factor a perfect square on the left side: (t + -1.7)(t + -1.7) = -1.11 Can't calculate square root of the right side. The solution to this equation could not be determined.
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