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Simplifying 2t2 + -1t + 4 = 0 Reorder the terms: 4 + -1t + 2t2 = 0 Solving 4 + -1t + 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'. 2 + -0.5t + t2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + -0.5t + -2 + t2 = 0 + -2 Reorder the terms: 2 + -2 + -0.5t + t2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -0.5t + t2 = 0 + -2 -0.5t + t2 = 0 + -2 Combine like terms: 0 + -2 = -2 -0.5t + t2 = -2 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 = -2 + 0.0625 Reorder the terms: 0.0625 + -0.5t + t2 = -2 + 0.0625 Combine like terms: -2 + 0.0625 = -1.9375 0.0625 + -0.5t + t2 = -1.9375 Factor a perfect square on the left side: (t + -0.25)(t + -0.25) = -1.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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