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Simplifying 8t2 + -64t + 281 = 0 Reorder the terms: 281 + -64t + 8t2 = 0 Solving 281 + -64t + 8t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 35.125 + -8t + t2 = 0 Move the constant term to the right: Add '-35.125' to each side of the equation. 35.125 + -8t + -35.125 + t2 = 0 + -35.125 Reorder the terms: 35.125 + -35.125 + -8t + t2 = 0 + -35.125 Combine like terms: 35.125 + -35.125 = 0.000 0.000 + -8t + t2 = 0 + -35.125 -8t + t2 = 0 + -35.125 Combine like terms: 0 + -35.125 = -35.125 -8t + t2 = -35.125 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 = -35.125 + 16 Reorder the terms: 16 + -8t + t2 = -35.125 + 16 Combine like terms: -35.125 + 16 = -19.125 16 + -8t + t2 = -19.125 Factor a perfect square on the left side: (t + -4)(t + -4) = -19.125 Can't calculate square root of the right side. The solution to this equation could not be determined.
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