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Simplifying 2t2 + -19t + 56 = 0 Reorder the terms: 56 + -19t + 2t2 = 0 Solving 56 + -19t + 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'. 28 + -9.5t + t2 = 0 Move the constant term to the right: Add '-28' to each side of the equation. 28 + -9.5t + -28 + t2 = 0 + -28 Reorder the terms: 28 + -28 + -9.5t + t2 = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -9.5t + t2 = 0 + -28 -9.5t + t2 = 0 + -28 Combine like terms: 0 + -28 = -28 -9.5t + t2 = -28 The t term is -9.5t. Take half its coefficient (-4.75). Square it (22.5625) and add it to both sides. Add '22.5625' to each side of the equation. -9.5t + 22.5625 + t2 = -28 + 22.5625 Reorder the terms: 22.5625 + -9.5t + t2 = -28 + 22.5625 Combine like terms: -28 + 22.5625 = -5.4375 22.5625 + -9.5t + t2 = -5.4375 Factor a perfect square on the left side: (t + -4.75)(t + -4.75) = -5.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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