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Simplifying 7t2 + -13t + 8 = 0 Reorder the terms: 8 + -13t + 7t2 = 0 Solving 8 + -13t + 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 + -1.857142857t + t2 = 0 Move the constant term to the right: Add '-1.142857143' to each side of the equation. 1.142857143 + -1.857142857t + -1.142857143 + t2 = 0 + -1.142857143 Reorder the terms: 1.142857143 + -1.142857143 + -1.857142857t + t2 = 0 + -1.142857143 Combine like terms: 1.142857143 + -1.142857143 = 0.000000000 0.000000000 + -1.857142857t + t2 = 0 + -1.142857143 -1.857142857t + t2 = 0 + -1.142857143 Combine like terms: 0 + -1.142857143 = -1.142857143 -1.857142857t + t2 = -1.142857143 The t term is -1.857142857t. Take half its coefficient (-0.9285714285). Square it (0.8622448978) and add it to both sides. Add '0.8622448978' to each side of the equation. -1.857142857t + 0.8622448978 + t2 = -1.142857143 + 0.8622448978 Reorder the terms: 0.8622448978 + -1.857142857t + t2 = -1.142857143 + 0.8622448978 Combine like terms: -1.142857143 + 0.8622448978 = -0.2806122452 0.8622448978 + -1.857142857t + t2 = -0.2806122452 Factor a perfect square on the left side: (t + -0.9285714285)(t + -0.9285714285) = -0.2806122452 Can't calculate square root of the right side. The solution to this equation could not be determined.
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