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Simplifying 3t2 + -16t + 27 = 0 Reorder the terms: 27 + -16t + 3t2 = 0 Solving 27 + -16t + 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'. 9 + -5.333333333t + t2 = 0 Move the constant term to the right: Add '-9' to each side of the equation. 9 + -5.333333333t + -9 + t2 = 0 + -9 Reorder the terms: 9 + -9 + -5.333333333t + t2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5.333333333t + t2 = 0 + -9 -5.333333333t + t2 = 0 + -9 Combine like terms: 0 + -9 = -9 -5.333333333t + t2 = -9 The t term is -5.333333333t. Take half its coefficient (-2.666666667). Square it (7.111111113) and add it to both sides. Add '7.111111113' to each side of the equation. -5.333333333t + 7.111111113 + t2 = -9 + 7.111111113 Reorder the terms: 7.111111113 + -5.333333333t + t2 = -9 + 7.111111113 Combine like terms: -9 + 7.111111113 = -1.888888887 7.111111113 + -5.333333333t + t2 = -1.888888887 Factor a perfect square on the left side: (t + -2.666666667)(t + -2.666666667) = -1.888888887 Can't calculate square root of the right side. The solution to this equation could not be determined.
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