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Simplifying 18t2 + 9t + 20 = 0 Reorder the terms: 20 + 9t + 18t2 = 0 Solving 20 + 9t + 18t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 18 the coefficient of the squared term: Divide each side by '18'. 1.111111111 + 0.5t + t2 = 0 Move the constant term to the right: Add '-1.111111111' to each side of the equation. 1.111111111 + 0.5t + -1.111111111 + t2 = 0 + -1.111111111 Reorder the terms: 1.111111111 + -1.111111111 + 0.5t + t2 = 0 + -1.111111111 Combine like terms: 1.111111111 + -1.111111111 = 0.000000000 0.000000000 + 0.5t + t2 = 0 + -1.111111111 0.5t + t2 = 0 + -1.111111111 Combine like terms: 0 + -1.111111111 = -1.111111111 0.5t + t2 = -1.111111111 The t term is 0.5t. Take half its coefficient (0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. 0.5t + 0.0625 + t2 = -1.111111111 + 0.0625 Reorder the terms: 0.0625 + 0.5t + t2 = -1.111111111 + 0.0625 Combine like terms: -1.111111111 + 0.0625 = -1.048611111 0.0625 + 0.5t + t2 = -1.048611111 Factor a perfect square on the left side: (t + 0.25)(t + 0.25) = -1.048611111 Can't calculate square root of the right side. The solution to this equation could not be determined.
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