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Simplifying 0 = 8t + -3t2 + -15 Reorder the terms: 0 = -15 + 8t + -3t2 Solving 0 = -15 + 8t + -3t2 Solving for variable 't'. Combine like terms: 0 + 15 = 15 15 + -8t + 3t2 = -15 + 8t + -3t2 + 15 + -8t + 3t2 Reorder the terms: 15 + -8t + 3t2 = -15 + 15 + 8t + -8t + -3t2 + 3t2 Combine like terms: -15 + 15 = 0 15 + -8t + 3t2 = 0 + 8t + -8t + -3t2 + 3t2 15 + -8t + 3t2 = 8t + -8t + -3t2 + 3t2 Combine like terms: 8t + -8t = 0 15 + -8t + 3t2 = 0 + -3t2 + 3t2 15 + -8t + 3t2 = -3t2 + 3t2 Combine like terms: -3t2 + 3t2 = 0 15 + -8t + 3t2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 5 + -2.666666667t + t2 = 0 Move the constant term to the right: Add '-5' to each side of the equation. 5 + -2.666666667t + -5 + t2 = 0 + -5 Reorder the terms: 5 + -5 + -2.666666667t + t2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2.666666667t + t2 = 0 + -5 -2.666666667t + t2 = 0 + -5 Combine like terms: 0 + -5 = -5 -2.666666667t + t2 = -5 The t term is -2.666666667t. Take half its coefficient (-1.333333334). Square it (1.777777780) and add it to both sides. Add '1.777777780' to each side of the equation. -2.666666667t + 1.777777780 + t2 = -5 + 1.777777780 Reorder the terms: 1.777777780 + -2.666666667t + t2 = -5 + 1.777777780 Combine like terms: -5 + 1.777777780 = -3.22222222 1.777777780 + -2.666666667t + t2 = -3.22222222 Factor a perfect square on the left side: (t + -1.333333334)(t + -1.333333334) = -3.22222222 Can't calculate square root of the right side. The solution to this equation could not be determined.
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