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Simplifying 4t2 + -14t + 35 = 0 Reorder the terms: 35 + -14t + 4t2 = 0 Solving 35 + -14t + 4t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 8.75 + -3.5t + t2 = 0 Move the constant term to the right: Add '-8.75' to each side of the equation. 8.75 + -3.5t + -8.75 + t2 = 0 + -8.75 Reorder the terms: 8.75 + -8.75 + -3.5t + t2 = 0 + -8.75 Combine like terms: 8.75 + -8.75 = 0.00 0.00 + -3.5t + t2 = 0 + -8.75 -3.5t + t2 = 0 + -8.75 Combine like terms: 0 + -8.75 = -8.75 -3.5t + t2 = -8.75 The t term is -3.5t. Take half its coefficient (-1.75). Square it (3.0625) and add it to both sides. Add '3.0625' to each side of the equation. -3.5t + 3.0625 + t2 = -8.75 + 3.0625 Reorder the terms: 3.0625 + -3.5t + t2 = -8.75 + 3.0625 Combine like terms: -8.75 + 3.0625 = -5.6875 3.0625 + -3.5t + t2 = -5.6875 Factor a perfect square on the left side: (t + -1.75)(t + -1.75) = -5.6875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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