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Simplifying (5t + 2)(25t2 + -10t + 4) = 0 Reorder the terms: (2 + 5t)(25t2 + -10t + 4) = 0 Reorder the terms: (2 + 5t)(4 + -10t + 25t2) = 0 Multiply (2 + 5t) * (4 + -10t + 25t2) (2(4 + -10t + 25t2) + 5t * (4 + -10t + 25t2)) = 0 ((4 * 2 + -10t * 2 + 25t2 * 2) + 5t * (4 + -10t + 25t2)) = 0 ((8 + -20t + 50t2) + 5t * (4 + -10t + 25t2)) = 0 (8 + -20t + 50t2 + (4 * 5t + -10t * 5t + 25t2 * 5t)) = 0 (8 + -20t + 50t2 + (20t + -50t2 + 125t3)) = 0 Reorder the terms: (8 + -20t + 20t + 50t2 + -50t2 + 125t3) = 0 Combine like terms: -20t + 20t = 0 (8 + 0 + 50t2 + -50t2 + 125t3) = 0 (8 + 50t2 + -50t2 + 125t3) = 0 Combine like terms: 50t2 + -50t2 = 0 (8 + 0 + 125t3) = 0 (8 + 125t3) = 0 Solving 8 + 125t3 = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 125t3 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 125t3 = 0 + -8 125t3 = 0 + -8 Combine like terms: 0 + -8 = -8 125t3 = -8 Divide each side by '125'. t3 = -0.064 Simplifying t3 = -0.064 Reorder the terms: 0.064 + t3 = -0.064 + 0.064 Combine like terms: -0.064 + 0.064 = 0.000 0.064 + t3 = 0.000 The solution to this equation could not be determined.
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