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Simplifying (9t2 + -1T + -9)(9t2 + 9t + -1) = 0 Reorder the terms: (-9 + -1T + 9t2)(9t2 + 9t + -1) = 0 Reorder the terms: (-9 + -1T + 9t2)(-1 + 9t + 9t2) = 0 Multiply (-9 + -1T + 9t2) * (-1 + 9t + 9t2) (-9(-1 + 9t + 9t2) + -1T * (-1 + 9t + 9t2) + 9t2 * (-1 + 9t + 9t2)) = 0 ((-1 * -9 + 9t * -9 + 9t2 * -9) + -1T * (-1 + 9t + 9t2) + 9t2 * (-1 + 9t + 9t2)) = 0 ((9 + -81t + -81t2) + -1T * (-1 + 9t + 9t2) + 9t2 * (-1 + 9t + 9t2)) = 0 (9 + -81t + -81t2 + (-1 * -1T + 9t * -1T + 9t2 * -1T) + 9t2 * (-1 + 9t + 9t2)) = 0 (9 + -81t + -81t2 + (1T + -9tT + -9t2T) + 9t2 * (-1 + 9t + 9t2)) = 0 (9 + -81t + -81t2 + 1T + -9tT + -9t2T + (-1 * 9t2 + 9t * 9t2 + 9t2 * 9t2)) = 0 (9 + -81t + -81t2 + 1T + -9tT + -9t2T + (-9t2 + 81t3 + 81t4)) = 0 Reorder the terms: (9 + 1T + -81t + -9tT + -81t2 + -9t2 + -9t2T + 81t3 + 81t4) = 0 Combine like terms: -81t2 + -9t2 = -90t2 (9 + 1T + -81t + -9tT + -90t2 + -9t2T + 81t3 + 81t4) = 0 Solving 9 + 1T + -81t + -9tT + -90t2 + -9t2T + 81t3 + 81t4 = 0 Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 1T + -81t + -9tT + -90t2 + -9t2T + 81t3 + -9 + 81t4 = 0 + -9 Reorder the terms: 9 + -9 + 1T + -81t + -9tT + -90t2 + -9t2T + 81t3 + 81t4 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 1T + -81t + -9tT + -90t2 + -9t2T + 81t3 + 81t4 = 0 + -9 1T + -81t + -9tT + -90t2 + -9t2T + 81t3 + 81t4 = 0 + -9 Combine like terms: 0 + -9 = -9 1T + -81t + -9tT + -90t2 + -9t2T + 81t3 + 81t4 = -9 Add '81t' to each side of the equation. 1T + -81t + -9tT + -90t2 + -9t2T + 81t3 + 81t + 81t4 = -9 + 81t Reorder the terms: 1T + -81t + 81t + -9tT + -90t2 + -9t2T + 81t3 + 81t4 = -9 + 81t Combine like terms: -81t + 81t = 0 1T + 0 + -9tT + -90t2 + -9t2T + 81t3 + 81t4 = -9 + 81t 1T + -9tT + -90t2 + -9t2T + 81t3 + 81t4 = -9 + 81t Add '90t2' to each side of the equation. 1T + -9tT + -90t2 + -9t2T + 81t3 + 90t2 + 81t4 = -9 + 81t + 90t2 Reorder the terms: 1T + -9tT + -90t2 + 90t2 + -9t2T + 81t3 + 81t4 = -9 + 81t + 90t2 Combine like terms: -90t2 + 90t2 = 0 1T + -9tT + 0 + -9t2T + 81t3 + 81t4 = -9 + 81t + 90t2 1T + -9tT + -9t2T + 81t3 + 81t4 = -9 + 81t + 90t2 Add '-81t3' to each side of the equation. 1T + -9tT + -9t2T + 81t3 + -81t3 + 81t4 = -9 + 81t + 90t2 + -81t3 Combine like terms: 81t3 + -81t3 = 0 1T + -9tT + -9t2T + 0 + 81t4 = -9 + 81t + 90t2 + -81t3 1T + -9tT + -9t2T + 81t4 = -9 + 81t + 90t2 + -81t3 Add '-81t4' to each side of the equation. 1T + -9tT + -9t2T + 81t4 + -81t4 = -9 + 81t + 90t2 + -81t3 + -81t4 Combine like terms: 81t4 + -81t4 = 0 1T + -9tT + -9t2T + 0 = -9 + 81t + 90t2 + -81t3 + -81t4 1T + -9tT + -9t2T = -9 + 81t + 90t2 + -81t3 + -81t4 Reorder the terms: 9 + 1T + -81t + -9tT + -90t2 + -9t2T + 81t3 + 81t4 = -9 + 81t + 90t2 + -81t3 + -81t4 + 9 + -81t + -90t2 + 81t3 + 81t4 Reorder the terms: 9 + 1T + -81t + -9tT + -90t2 + -9t2T + 81t3 + 81t4 = -9 + 9 + 81t + -81t + 90t2 + -90t2 + -81t3 + 81t3 + -81t4 + 81t4 Combine like terms: -9 + 9 = 0 9 + 1T + -81t + -9tT + -90t2 + -9t2T + 81t3 + 81t4 = 0 + 81t + -81t + 90t2 + -90t2 + -81t3 + 81t3 + -81t4 + 81t4 9 + 1T + -81t + -9tT + -90t2 + -9t2T + 81t3 + 81t4 = 81t + -81t + 90t2 + -90t2 + -81t3 + 81t3 + -81t4 + 81t4 Combine like terms: 81t + -81t = 0 9 + 1T + -81t + -9tT + -90t2 + -9t2T + 81t3 + 81t4 = 0 + 90t2 + -90t2 + -81t3 + 81t3 + -81t4 + 81t4 9 + 1T + -81t + -9tT + -90t2 + -9t2T + 81t3 + 81t4 = 90t2 + -90t2 + -81t3 + 81t3 + -81t4 + 81t4 Combine like terms: 90t2 + -90t2 = 0 9 + 1T + -81t + -9tT + -90t2 + -9t2T + 81t3 + 81t4 = 0 + -81t3 + 81t3 + -81t4 + 81t4 9 + 1T + -81t + -9tT + -90t2 + -9t2T + 81t3 + 81t4 = -81t3 + 81t3 + -81t4 + 81t4 Combine like terms: -81t3 + 81t3 = 0 9 + 1T + -81t + -9tT + -90t2 + -9t2T + 81t3 + 81t4 = 0 + -81t4 + 81t4 9 + 1T + -81t + -9tT + -90t2 + -9t2T + 81t3 + 81t4 = -81t4 + 81t4 Combine like terms: -81t4 + 81t4 = 0 9 + 1T + -81t + -9tT + -90t2 + -9t2T + 81t3 + 81t4 = 0 The solution to this equation could not be determined.
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