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Simplifying 6t2 + 3t + 4 = 0 Reorder the terms: 4 + 3t + 6t2 = 0 Solving 4 + 3t + 6t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 0.6666666667 + 0.5t + t2 = 0 Move the constant term to the right: Add '-0.6666666667' to each side of the equation. 0.6666666667 + 0.5t + -0.6666666667 + t2 = 0 + -0.6666666667 Reorder the terms: 0.6666666667 + -0.6666666667 + 0.5t + t2 = 0 + -0.6666666667 Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000 0.0000000000 + 0.5t + t2 = 0 + -0.6666666667 0.5t + t2 = 0 + -0.6666666667 Combine like terms: 0 + -0.6666666667 = -0.6666666667 0.5t + t2 = -0.6666666667 The t term is 0.5t. Take half its coefficient (0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. 0.5t + 0.0625 + t2 = -0.6666666667 + 0.0625 Reorder the terms: 0.0625 + 0.5t + t2 = -0.6666666667 + 0.0625 Combine like terms: -0.6666666667 + 0.0625 = -0.6041666667 0.0625 + 0.5t + t2 = -0.6041666667 Factor a perfect square on the left side: (t + 0.25)(t + 0.25) = -0.6041666667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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