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Simplifying (5t2 + -1t + -4)(3t2 + 5t + -1) = 0 Reorder the terms: (-4 + -1t + 5t2)(3t2 + 5t + -1) = 0 Reorder the terms: (-4 + -1t + 5t2)(-1 + 5t + 3t2) = 0 Multiply (-4 + -1t + 5t2) * (-1 + 5t + 3t2) (-4(-1 + 5t + 3t2) + -1t * (-1 + 5t + 3t2) + 5t2 * (-1 + 5t + 3t2)) = 0 ((-1 * -4 + 5t * -4 + 3t2 * -4) + -1t * (-1 + 5t + 3t2) + 5t2 * (-1 + 5t + 3t2)) = 0 ((4 + -20t + -12t2) + -1t * (-1 + 5t + 3t2) + 5t2 * (-1 + 5t + 3t2)) = 0 (4 + -20t + -12t2 + (-1 * -1t + 5t * -1t + 3t2 * -1t) + 5t2 * (-1 + 5t + 3t2)) = 0 (4 + -20t + -12t2 + (1t + -5t2 + -3t3) + 5t2 * (-1 + 5t + 3t2)) = 0 (4 + -20t + -12t2 + 1t + -5t2 + -3t3 + (-1 * 5t2 + 5t * 5t2 + 3t2 * 5t2)) = 0 (4 + -20t + -12t2 + 1t + -5t2 + -3t3 + (-5t2 + 25t3 + 15t4)) = 0 Reorder the terms: (4 + -20t + 1t + -12t2 + -5t2 + -5t2 + -3t3 + 25t3 + 15t4) = 0 Combine like terms: -20t + 1t = -19t (4 + -19t + -12t2 + -5t2 + -5t2 + -3t3 + 25t3 + 15t4) = 0 Combine like terms: -12t2 + -5t2 = -17t2 (4 + -19t + -17t2 + -5t2 + -3t3 + 25t3 + 15t4) = 0 Combine like terms: -17t2 + -5t2 = -22t2 (4 + -19t + -22t2 + -3t3 + 25t3 + 15t4) = 0 Combine like terms: -3t3 + 25t3 = 22t3 (4 + -19t + -22t2 + 22t3 + 15t4) = 0 Solving 4 + -19t + -22t2 + 22t3 + 15t4 = 0 Solving for variable 't'. The solution to this equation could not be determined.
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