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Simplifying 6t2 + 2t + 9 = 0 Reorder the terms: 9 + 2t + 6t2 = 0 Solving 9 + 2t + 6t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 1.5 + 0.3333333333t + t2 = 0 Move the constant term to the right: Add '-1.5' to each side of the equation. 1.5 + 0.3333333333t + -1.5 + t2 = 0 + -1.5 Reorder the terms: 1.5 + -1.5 + 0.3333333333t + t2 = 0 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 0.3333333333t + t2 = 0 + -1.5 0.3333333333t + t2 = 0 + -1.5 Combine like terms: 0 + -1.5 = -1.5 0.3333333333t + t2 = -1.5 The t term is 0.3333333333t. Take half its coefficient (0.1666666667). Square it (0.02777777779) and add it to both sides. Add '0.02777777779' to each side of the equation. 0.3333333333t + 0.02777777779 + t2 = -1.5 + 0.02777777779 Reorder the terms: 0.02777777779 + 0.3333333333t + t2 = -1.5 + 0.02777777779 Combine like terms: -1.5 + 0.02777777779 = -1.47222222221 0.02777777779 + 0.3333333333t + t2 = -1.47222222221 Factor a perfect square on the left side: (t + 0.1666666667)(t + 0.1666666667) = -1.47222222221 Can't calculate square root of the right side. The solution to this equation could not be determined.
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