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Simplifying 7t2 + -2t + 8 = 0 Reorder the terms: 8 + -2t + 7t2 = 0 Solving 8 + -2t + 7t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 1.142857143 + -0.2857142857t + t2 = 0 Move the constant term to the right: Add '-1.142857143' to each side of the equation. 1.142857143 + -0.2857142857t + -1.142857143 + t2 = 0 + -1.142857143 Reorder the terms: 1.142857143 + -1.142857143 + -0.2857142857t + t2 = 0 + -1.142857143 Combine like terms: 1.142857143 + -1.142857143 = 0.000000000 0.000000000 + -0.2857142857t + t2 = 0 + -1.142857143 -0.2857142857t + t2 = 0 + -1.142857143 Combine like terms: 0 + -1.142857143 = -1.142857143 -0.2857142857t + t2 = -1.142857143 The t term is -0.2857142857t. Take half its coefficient (-0.1428571429). Square it (0.02040816328) and add it to both sides. Add '0.02040816328' to each side of the equation. -0.2857142857t + 0.02040816328 + t2 = -1.142857143 + 0.02040816328 Reorder the terms: 0.02040816328 + -0.2857142857t + t2 = -1.142857143 + 0.02040816328 Combine like terms: -1.142857143 + 0.02040816328 = -1.12244897972 0.02040816328 + -0.2857142857t + t2 = -1.12244897972 Factor a perfect square on the left side: (t + -0.1428571429)(t + -0.1428571429) = -1.12244897972 Can't calculate square root of the right side. The solution to this equation could not be determined.
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