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Simplifying (t + -5)(t + -5)(t + -5)(t + -5) = 0 Reorder the terms: (-5 + t)(t + -5)(t + -5)(t + -5) = 0 Reorder the terms: (-5 + t)(-5 + t)(t + -5)(t + -5) = 0 Reorder the terms: (-5 + t)(-5 + t)(-5 + t)(t + -5) = 0 Reorder the terms: (-5 + t)(-5 + t)(-5 + t)(-5 + t) = 0 Multiply (-5 + t) * (-5 + t) (-5(-5 + t) + t(-5 + t))(-5 + t)(-5 + t) = 0 ((-5 * -5 + t * -5) + t(-5 + t))(-5 + t)(-5 + t) = 0 ((25 + -5t) + t(-5 + t))(-5 + t)(-5 + t) = 0 (25 + -5t + (-5 * t + t * t))(-5 + t)(-5 + t) = 0 (25 + -5t + (-5t + t2))(-5 + t)(-5 + t) = 0 Combine like terms: -5t + -5t = -10t (25 + -10t + t2)(-5 + t)(-5 + t) = 0 Multiply (25 + -10t + t2) * (-5 + t) (25(-5 + t) + -10t * (-5 + t) + t2(-5 + t))(-5 + t) = 0 ((-5 * 25 + t * 25) + -10t * (-5 + t) + t2(-5 + t))(-5 + t) = 0 ((-125 + 25t) + -10t * (-5 + t) + t2(-5 + t))(-5 + t) = 0 (-125 + 25t + (-5 * -10t + t * -10t) + t2(-5 + t))(-5 + t) = 0 (-125 + 25t + (50t + -10t2) + t2(-5 + t))(-5 + t) = 0 (-125 + 25t + 50t + -10t2 + (-5 * t2 + t * t2))(-5 + t) = 0 (-125 + 25t + 50t + -10t2 + (-5t2 + t3))(-5 + t) = 0 Combine like terms: 25t + 50t = 75t (-125 + 75t + -10t2 + -5t2 + t3)(-5 + t) = 0 Combine like terms: -10t2 + -5t2 = -15t2 (-125 + 75t + -15t2 + t3)(-5 + t) = 0 Multiply (-125 + 75t + -15t2 + t3) * (-5 + t) (-125(-5 + t) + 75t * (-5 + t) + -15t2 * (-5 + t) + t3(-5 + t)) = 0 ((-5 * -125 + t * -125) + 75t * (-5 + t) + -15t2 * (-5 + t) + t3(-5 + t)) = 0 ((625 + -125t) + 75t * (-5 + t) + -15t2 * (-5 + t) + t3(-5 + t)) = 0 (625 + -125t + (-5 * 75t + t * 75t) + -15t2 * (-5 + t) + t3(-5 + t)) = 0 (625 + -125t + (-375t + 75t2) + -15t2 * (-5 + t) + t3(-5 + t)) = 0 (625 + -125t + -375t + 75t2 + (-5 * -15t2 + t * -15t2) + t3(-5 + t)) = 0 (625 + -125t + -375t + 75t2 + (75t2 + -15t3) + t3(-5 + t)) = 0 (625 + -125t + -375t + 75t2 + 75t2 + -15t3 + (-5 * t3 + t * t3)) = 0 (625 + -125t + -375t + 75t2 + 75t2 + -15t3 + (-5t3 + t4)) = 0 Combine like terms: -125t + -375t = -500t (625 + -500t + 75t2 + 75t2 + -15t3 + -5t3 + t4) = 0 Combine like terms: 75t2 + 75t2 = 150t2 (625 + -500t + 150t2 + -15t3 + -5t3 + t4) = 0 Combine like terms: -15t3 + -5t3 = -20t3 (625 + -500t + 150t2 + -20t3 + t4) = 0 Solving 625 + -500t + 150t2 + -20t3 + t4 = 0 Solving for variable 't'. The solution to this equation could not be determined.
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