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Simplifying 4t2 + -8t + 19 = 0 Reorder the terms: 19 + -8t + 4t2 = 0 Solving 19 + -8t + 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'. 4.75 + -2t + t2 = 0 Move the constant term to the right: Add '-4.75' to each side of the equation. 4.75 + -2t + -4.75 + t2 = 0 + -4.75 Reorder the terms: 4.75 + -4.75 + -2t + t2 = 0 + -4.75 Combine like terms: 4.75 + -4.75 = 0.00 0.00 + -2t + t2 = 0 + -4.75 -2t + t2 = 0 + -4.75 Combine like terms: 0 + -4.75 = -4.75 -2t + t2 = -4.75 The t term is -2t. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2t + 1 + t2 = -4.75 + 1 Reorder the terms: 1 + -2t + t2 = -4.75 + 1 Combine like terms: -4.75 + 1 = -3.75 1 + -2t + t2 = -3.75 Factor a perfect square on the left side: (t + -1)(t + -1) = -3.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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