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Simplifying (3t2 + -5t + 2)(3t2 + 4t + -6) = 0 Reorder the terms: (2 + -5t + 3t2)(3t2 + 4t + -6) = 0 Reorder the terms: (2 + -5t + 3t2)(-6 + 4t + 3t2) = 0 Multiply (2 + -5t + 3t2) * (-6 + 4t + 3t2) (2(-6 + 4t + 3t2) + -5t * (-6 + 4t + 3t2) + 3t2 * (-6 + 4t + 3t2)) = 0 ((-6 * 2 + 4t * 2 + 3t2 * 2) + -5t * (-6 + 4t + 3t2) + 3t2 * (-6 + 4t + 3t2)) = 0 ((-12 + 8t + 6t2) + -5t * (-6 + 4t + 3t2) + 3t2 * (-6 + 4t + 3t2)) = 0 (-12 + 8t + 6t2 + (-6 * -5t + 4t * -5t + 3t2 * -5t) + 3t2 * (-6 + 4t + 3t2)) = 0 (-12 + 8t + 6t2 + (30t + -20t2 + -15t3) + 3t2 * (-6 + 4t + 3t2)) = 0 (-12 + 8t + 6t2 + 30t + -20t2 + -15t3 + (-6 * 3t2 + 4t * 3t2 + 3t2 * 3t2)) = 0 (-12 + 8t + 6t2 + 30t + -20t2 + -15t3 + (-18t2 + 12t3 + 9t4)) = 0 Reorder the terms: (-12 + 8t + 30t + 6t2 + -20t2 + -18t2 + -15t3 + 12t3 + 9t4) = 0 Combine like terms: 8t + 30t = 38t (-12 + 38t + 6t2 + -20t2 + -18t2 + -15t3 + 12t3 + 9t4) = 0 Combine like terms: 6t2 + -20t2 = -14t2 (-12 + 38t + -14t2 + -18t2 + -15t3 + 12t3 + 9t4) = 0 Combine like terms: -14t2 + -18t2 = -32t2 (-12 + 38t + -32t2 + -15t3 + 12t3 + 9t4) = 0 Combine like terms: -15t3 + 12t3 = -3t3 (-12 + 38t + -32t2 + -3t3 + 9t4) = 0 Solving -12 + 38t + -32t2 + -3t3 + 9t4 = 0 Solving for variable 't'. The solution to this equation could not be determined.
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