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Simplifying 3t2 + -24t + 1021 = 0 Reorder the terms: 1021 + -24t + 3t2 = 0 Solving 1021 + -24t + 3t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 340.3333333 + -8t + t2 = 0 Move the constant term to the right: Add '-340.3333333' to each side of the equation. 340.3333333 + -8t + -340.3333333 + t2 = 0 + -340.3333333 Reorder the terms: 340.3333333 + -340.3333333 + -8t + t2 = 0 + -340.3333333 Combine like terms: 340.3333333 + -340.3333333 = 0.0000000 0.0000000 + -8t + t2 = 0 + -340.3333333 -8t + t2 = 0 + -340.3333333 Combine like terms: 0 + -340.3333333 = -340.3333333 -8t + t2 = -340.3333333 The t term is -8t. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8t + 16 + t2 = -340.3333333 + 16 Reorder the terms: 16 + -8t + t2 = -340.3333333 + 16 Combine like terms: -340.3333333 + 16 = -324.3333333 16 + -8t + t2 = -324.3333333 Factor a perfect square on the left side: (t + -4)(t + -4) = -324.3333333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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