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Simplifying 8t2 + 9t + 5 = 0 Reorder the terms: 5 + 9t + 8t2 = 0 Solving 5 + 9t + 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'. 0.625 + 1.125t + t2 = 0 Move the constant term to the right: Add '-0.625' to each side of the equation. 0.625 + 1.125t + -0.625 + t2 = 0 + -0.625 Reorder the terms: 0.625 + -0.625 + 1.125t + t2 = 0 + -0.625 Combine like terms: 0.625 + -0.625 = 0.000 0.000 + 1.125t + t2 = 0 + -0.625 1.125t + t2 = 0 + -0.625 Combine like terms: 0 + -0.625 = -0.625 1.125t + t2 = -0.625 The t term is 1.125t. Take half its coefficient (0.5625). Square it (0.31640625) and add it to both sides. Add '0.31640625' to each side of the equation. 1.125t + 0.31640625 + t2 = -0.625 + 0.31640625 Reorder the terms: 0.31640625 + 1.125t + t2 = -0.625 + 0.31640625 Combine like terms: -0.625 + 0.31640625 = -0.30859375 0.31640625 + 1.125t + t2 = -0.30859375 Factor a perfect square on the left side: (t + 0.5625)(t + 0.5625) = -0.30859375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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