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Simplifying 3t2 + 5t + 6 = 0 Reorder the terms: 6 + 5t + 3t2 = 0 Solving 6 + 5t + 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'. 2 + 1.666666667t + t2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + 1.666666667t + -2 + t2 = 0 + -2 Reorder the terms: 2 + -2 + 1.666666667t + t2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 1.666666667t + t2 = 0 + -2 1.666666667t + t2 = 0 + -2 Combine like terms: 0 + -2 = -2 1.666666667t + t2 = -2 The t term is 1.666666667t. Take half its coefficient (0.8333333335). Square it (0.6944444447) and add it to both sides. Add '0.6944444447' to each side of the equation. 1.666666667t + 0.6944444447 + t2 = -2 + 0.6944444447 Reorder the terms: 0.6944444447 + 1.666666667t + t2 = -2 + 0.6944444447 Combine like terms: -2 + 0.6944444447 = -1.3055555553 0.6944444447 + 1.666666667t + t2 = -1.3055555553 Factor a perfect square on the left side: (t + 0.8333333335)(t + 0.8333333335) = -1.3055555553 Can't calculate square root of the right side. The solution to this equation could not be determined.
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