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Simplifying 12t2 + 14t + 35 = 0 Reorder the terms: 35 + 14t + 12t2 = 0 Solving 35 + 14t + 12t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. 2.916666667 + 1.166666667t + t2 = 0 Move the constant term to the right: Add '-2.916666667' to each side of the equation. 2.916666667 + 1.166666667t + -2.916666667 + t2 = 0 + -2.916666667 Reorder the terms: 2.916666667 + -2.916666667 + 1.166666667t + t2 = 0 + -2.916666667 Combine like terms: 2.916666667 + -2.916666667 = 0.000000000 0.000000000 + 1.166666667t + t2 = 0 + -2.916666667 1.166666667t + t2 = 0 + -2.916666667 Combine like terms: 0 + -2.916666667 = -2.916666667 1.166666667t + t2 = -2.916666667 The t term is 1.166666667t. Take half its coefficient (0.5833333335). Square it (0.3402777780) and add it to both sides. Add '0.3402777780' to each side of the equation. 1.166666667t + 0.3402777780 + t2 = -2.916666667 + 0.3402777780 Reorder the terms: 0.3402777780 + 1.166666667t + t2 = -2.916666667 + 0.3402777780 Combine like terms: -2.916666667 + 0.3402777780 = -2.576388889 0.3402777780 + 1.166666667t + t2 = -2.576388889 Factor a perfect square on the left side: (t + 0.5833333335)(t + 0.5833333335) = -2.576388889 Can't calculate square root of the right side. The solution to this equation could not be determined.
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