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Simplifying (8 + 4t3 + -5t2)(8 + 4t3 + -5t2) = 0 Reorder the terms: (8 + -5t2 + 4t3)(8 + 4t3 + -5t2) = 0 Reorder the terms: (8 + -5t2 + 4t3)(8 + -5t2 + 4t3) = 0 Multiply (8 + -5t2 + 4t3) * (8 + -5t2 + 4t3) (8(8 + -5t2 + 4t3) + -5t2 * (8 + -5t2 + 4t3) + 4t3 * (8 + -5t2 + 4t3)) = 0 ((8 * 8 + -5t2 * 8 + 4t3 * 8) + -5t2 * (8 + -5t2 + 4t3) + 4t3 * (8 + -5t2 + 4t3)) = 0 ((64 + -40t2 + 32t3) + -5t2 * (8 + -5t2 + 4t3) + 4t3 * (8 + -5t2 + 4t3)) = 0 (64 + -40t2 + 32t3 + (8 * -5t2 + -5t2 * -5t2 + 4t3 * -5t2) + 4t3 * (8 + -5t2 + 4t3)) = 0 (64 + -40t2 + 32t3 + (-40t2 + 25t4 + -20t5) + 4t3 * (8 + -5t2 + 4t3)) = 0 (64 + -40t2 + 32t3 + -40t2 + 25t4 + -20t5 + (8 * 4t3 + -5t2 * 4t3 + 4t3 * 4t3)) = 0 (64 + -40t2 + 32t3 + -40t2 + 25t4 + -20t5 + (32t3 + -20t5 + 16t6)) = 0 Reorder the terms: (64 + -40t2 + -40t2 + 32t3 + 32t3 + 25t4 + -20t5 + -20t5 + 16t6) = 0 Combine like terms: -40t2 + -40t2 = -80t2 (64 + -80t2 + 32t3 + 32t3 + 25t4 + -20t5 + -20t5 + 16t6) = 0 Combine like terms: 32t3 + 32t3 = 64t3 (64 + -80t2 + 64t3 + 25t4 + -20t5 + -20t5 + 16t6) = 0 Combine like terms: -20t5 + -20t5 = -40t5 (64 + -80t2 + 64t3 + 25t4 + -40t5 + 16t6) = 0 Solving 64 + -80t2 + 64t3 + 25t4 + -40t5 + 16t6 = 0 Solving for variable 't'. The solution to this equation could not be determined.
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