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Simplifying 24 + 7t2 + -13t = 0 Reorder the terms: 24 + -13t + 7t2 = 0 Solving 24 + -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'. 3.428571429 + -1.857142857t + t2 = 0 Move the constant term to the right: Add '-3.428571429' to each side of the equation. 3.428571429 + -1.857142857t + -3.428571429 + t2 = 0 + -3.428571429 Reorder the terms: 3.428571429 + -3.428571429 + -1.857142857t + t2 = 0 + -3.428571429 Combine like terms: 3.428571429 + -3.428571429 = 0.000000000 0.000000000 + -1.857142857t + t2 = 0 + -3.428571429 -1.857142857t + t2 = 0 + -3.428571429 Combine like terms: 0 + -3.428571429 = -3.428571429 -1.857142857t + t2 = -3.428571429 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 = -3.428571429 + 0.8622448978 Reorder the terms: 0.8622448978 + -1.857142857t + t2 = -3.428571429 + 0.8622448978 Combine like terms: -3.428571429 + 0.8622448978 = -2.5663265312 0.8622448978 + -1.857142857t + t2 = -2.5663265312 Factor a perfect square on the left side: (t + -0.9285714285)(t + -0.9285714285) = -2.5663265312 Can't calculate square root of the right side. The solution to this equation could not be determined.
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