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Simplifying 3t2 + -2t + 9 = 0 Reorder the terms: 9 + -2t + 3t2 = 0 Solving 9 + -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'. 3 + -0.6666666667t + t2 = 0 Move the constant term to the right: Add '-3' to each side of the equation. 3 + -0.6666666667t + -3 + t2 = 0 + -3 Reorder the terms: 3 + -3 + -0.6666666667t + t2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -0.6666666667t + t2 = 0 + -3 -0.6666666667t + t2 = 0 + -3 Combine like terms: 0 + -3 = -3 -0.6666666667t + t2 = -3 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 = -3 + 0.1111111112 Reorder the terms: 0.1111111112 + -0.6666666667t + t2 = -3 + 0.1111111112 Combine like terms: -3 + 0.1111111112 = -2.8888888888 0.1111111112 + -0.6666666667t + t2 = -2.8888888888 Factor a perfect square on the left side: (t + -0.3333333334)(t + -0.3333333334) = -2.8888888888 Can't calculate square root of the right side. The solution to this equation could not be determined.
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