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Simplifying (t + -2)(t + -5)(t + 2) = 0 Reorder the terms: (-2 + t)(t + -5)(t + 2) = 0 Reorder the terms: (-2 + t)(-5 + t)(t + 2) = 0 Reorder the terms: (-2 + t)(-5 + t)(2 + t) = 0 Multiply (-2 + t) * (-5 + t) (-2(-5 + t) + t(-5 + t))(2 + t) = 0 ((-5 * -2 + t * -2) + t(-5 + t))(2 + t) = 0 ((10 + -2t) + t(-5 + t))(2 + t) = 0 (10 + -2t + (-5 * t + t * t))(2 + t) = 0 (10 + -2t + (-5t + t2))(2 + t) = 0 Combine like terms: -2t + -5t = -7t (10 + -7t + t2)(2 + t) = 0 Multiply (10 + -7t + t2) * (2 + t) (10(2 + t) + -7t * (2 + t) + t2(2 + t)) = 0 ((2 * 10 + t * 10) + -7t * (2 + t) + t2(2 + t)) = 0 ((20 + 10t) + -7t * (2 + t) + t2(2 + t)) = 0 (20 + 10t + (2 * -7t + t * -7t) + t2(2 + t)) = 0 (20 + 10t + (-14t + -7t2) + t2(2 + t)) = 0 (20 + 10t + -14t + -7t2 + (2 * t2 + t * t2)) = 0 (20 + 10t + -14t + -7t2 + (2t2 + t3)) = 0 Combine like terms: 10t + -14t = -4t (20 + -4t + -7t2 + 2t2 + t3) = 0 Combine like terms: -7t2 + 2t2 = -5t2 (20 + -4t + -5t2 + t3) = 0 Solving 20 + -4t + -5t2 + t3 = 0 Solving for variable 't'. The solution to this equation could not be determined.
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