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Simplifying 2t2 + 3 + -1t + 4 + 5t2 = 0 Reorder the terms: 3 + 4 + -1t + 2t2 + 5t2 = 0 Combine like terms: 3 + 4 = 7 7 + -1t + 2t2 + 5t2 = 0 Combine like terms: 2t2 + 5t2 = 7t2 7 + -1t + 7t2 = 0 Solving 7 + -1t + 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 + -0.1428571429t + t2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -0.1428571429t + -1 + t2 = 0 + -1 Reorder the terms: 1 + -1 + -0.1428571429t + t2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -0.1428571429t + t2 = 0 + -1 -0.1428571429t + t2 = 0 + -1 Combine like terms: 0 + -1 = -1 -0.1428571429t + t2 = -1 The t term is -0.1428571429t. Take half its coefficient (-0.07142857145). Square it (0.005102040819) and add it to both sides. Add '0.005102040819' to each side of the equation. -0.1428571429t + 0.005102040819 + t2 = -1 + 0.005102040819 Reorder the terms: 0.005102040819 + -0.1428571429t + t2 = -1 + 0.005102040819 Combine like terms: -1 + 0.005102040819 = -0.994897959181 0.005102040819 + -0.1428571429t + t2 = -0.994897959181 Factor a perfect square on the left side: (t + -0.07142857145)(t + -0.07142857145) = -0.994897959181 Can't calculate square root of the right side. The solution to this equation could not be determined.
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