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Simplifying 18t2 + 6t + 7 = 0 Reorder the terms: 7 + 6t + 18t2 = 0 Solving 7 + 6t + 18t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 18 the coefficient of the squared term: Divide each side by '18'. 0.3888888889 + 0.3333333333t + t2 = 0 Move the constant term to the right: Add '-0.3888888889' to each side of the equation. 0.3888888889 + 0.3333333333t + -0.3888888889 + t2 = 0 + -0.3888888889 Reorder the terms: 0.3888888889 + -0.3888888889 + 0.3333333333t + t2 = 0 + -0.3888888889 Combine like terms: 0.3888888889 + -0.3888888889 = 0.0000000000 0.0000000000 + 0.3333333333t + t2 = 0 + -0.3888888889 0.3333333333t + t2 = 0 + -0.3888888889 Combine like terms: 0 + -0.3888888889 = -0.3888888889 0.3333333333t + t2 = -0.3888888889 The t term is 0.3333333333t. Take half its coefficient (0.1666666667). Square it (0.02777777779) and add it to both sides. Add '0.02777777779' to each side of the equation. 0.3333333333t + 0.02777777779 + t2 = -0.3888888889 + 0.02777777779 Reorder the terms: 0.02777777779 + 0.3333333333t + t2 = -0.3888888889 + 0.02777777779 Combine like terms: -0.3888888889 + 0.02777777779 = -0.36111111111 0.02777777779 + 0.3333333333t + t2 = -0.36111111111 Factor a perfect square on the left side: (t + 0.1666666667)(t + 0.1666666667) = -0.36111111111 Can't calculate square root of the right side. The solution to this equation could not be determined.
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