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Simplifying 3t2 + 2t + 45 = 0 Reorder the terms: 45 + 2t + 3t2 = 0 Solving 45 + 2t + 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'. 15 + 0.6666666667t + t2 = 0 Move the constant term to the right: Add '-15' to each side of the equation. 15 + 0.6666666667t + -15 + t2 = 0 + -15 Reorder the terms: 15 + -15 + 0.6666666667t + t2 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 0.6666666667t + t2 = 0 + -15 0.6666666667t + t2 = 0 + -15 Combine like terms: 0 + -15 = -15 0.6666666667t + t2 = -15 The t term is 0.6666666667t. Take half its coefficient (0.3333333334). Square it (0.1111111112) and add it to both sides. Add '0.1111111112' to each side of the equation. 0.6666666667t + 0.1111111112 + t2 = -15 + 0.1111111112 Reorder the terms: 0.1111111112 + 0.6666666667t + t2 = -15 + 0.1111111112 Combine like terms: -15 + 0.1111111112 = -14.8888888888 0.1111111112 + 0.6666666667t + t2 = -14.8888888888 Factor a perfect square on the left side: (t + 0.3333333334)(t + 0.3333333334) = -14.8888888888 Can't calculate square root of the right side. The solution to this equation could not be determined.
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