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Simplifying 2t2 + -25t + 160 = 0 Reorder the terms: 160 + -25t + 2t2 = 0 Solving 160 + -25t + 2t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 80 + -12.5t + t2 = 0 Move the constant term to the right: Add '-80' to each side of the equation. 80 + -12.5t + -80 + t2 = 0 + -80 Reorder the terms: 80 + -80 + -12.5t + t2 = 0 + -80 Combine like terms: 80 + -80 = 0 0 + -12.5t + t2 = 0 + -80 -12.5t + t2 = 0 + -80 Combine like terms: 0 + -80 = -80 -12.5t + t2 = -80 The t term is -12.5t. Take half its coefficient (-6.25). Square it (39.0625) and add it to both sides. Add '39.0625' to each side of the equation. -12.5t + 39.0625 + t2 = -80 + 39.0625 Reorder the terms: 39.0625 + -12.5t + t2 = -80 + 39.0625 Combine like terms: -80 + 39.0625 = -40.9375 39.0625 + -12.5t + t2 = -40.9375 Factor a perfect square on the left side: (t + -6.25)(t + -6.25) = -40.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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