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Simplifying -8t2 + 2t + -5 = 0 Reorder the terms: -5 + 2t + -8t2 = 0 Solving -5 + 2t + -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 + -0.25t + t2 = 0 Move the constant term to the right: Add '-0.625' to each side of the equation. 0.625 + -0.25t + -0.625 + t2 = 0 + -0.625 Reorder the terms: 0.625 + -0.625 + -0.25t + t2 = 0 + -0.625 Combine like terms: 0.625 + -0.625 = 0.000 0.000 + -0.25t + t2 = 0 + -0.625 -0.25t + t2 = 0 + -0.625 Combine like terms: 0 + -0.625 = -0.625 -0.25t + t2 = -0.625 The t term is -0.25t. Take half its coefficient (-0.125). Square it (0.015625) and add it to both sides. Add '0.015625' to each side of the equation. -0.25t + 0.015625 + t2 = -0.625 + 0.015625 Reorder the terms: 0.015625 + -0.25t + t2 = -0.625 + 0.015625 Combine like terms: -0.625 + 0.015625 = -0.609375 0.015625 + -0.25t + t2 = -0.609375 Factor a perfect square on the left side: (t + -0.125)(t + -0.125) = -0.609375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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