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Simplifying 9t2 + 30t + 64 = 0 Reorder the terms: 64 + 30t + 9t2 = 0 Solving 64 + 30t + 9t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 7.111111111 + 3.333333333t + t2 = 0 Move the constant term to the right: Add '-7.111111111' to each side of the equation. 7.111111111 + 3.333333333t + -7.111111111 + t2 = 0 + -7.111111111 Reorder the terms: 7.111111111 + -7.111111111 + 3.333333333t + t2 = 0 + -7.111111111 Combine like terms: 7.111111111 + -7.111111111 = 0.000000000 0.000000000 + 3.333333333t + t2 = 0 + -7.111111111 3.333333333t + t2 = 0 + -7.111111111 Combine like terms: 0 + -7.111111111 = -7.111111111 3.333333333t + t2 = -7.111111111 The t term is 3.333333333t. Take half its coefficient (1.666666667). Square it (2.777777779) and add it to both sides. Add '2.777777779' to each side of the equation. 3.333333333t + 2.777777779 + t2 = -7.111111111 + 2.777777779 Reorder the terms: 2.777777779 + 3.333333333t + t2 = -7.111111111 + 2.777777779 Combine like terms: -7.111111111 + 2.777777779 = -4.333333332 2.777777779 + 3.333333333t + t2 = -4.333333332 Factor a perfect square on the left side: (t + 1.666666667)(t + 1.666666667) = -4.333333332 Can't calculate square root of the right side. The solution to this equation could not be determined.
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