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Simplifying 2t2 + -3t + 8 = 0 Reorder the terms: 8 + -3t + 2t2 = 0 Solving 8 + -3t + 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'. 4 + -1.5t + t2 = 0 Move the constant term to the right: Add '-4' to each side of the equation. 4 + -1.5t + -4 + t2 = 0 + -4 Reorder the terms: 4 + -4 + -1.5t + t2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1.5t + t2 = 0 + -4 -1.5t + t2 = 0 + -4 Combine like terms: 0 + -4 = -4 -1.5t + t2 = -4 The t term is -1.5t. Take half its coefficient (-0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. -1.5t + 0.5625 + t2 = -4 + 0.5625 Reorder the terms: 0.5625 + -1.5t + t2 = -4 + 0.5625 Combine like terms: -4 + 0.5625 = -3.4375 0.5625 + -1.5t + t2 = -3.4375 Factor a perfect square on the left side: (t + -0.75)(t + -0.75) = -3.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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