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Simplifying 80t3 + 30t2 = 0 Reorder the terms: 30t2 + 80t3 = 0 Solving 30t2 + 80t3 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '10t2'. 10t2(3 + 8t) = 0 Ignore the factor 10.Subproblem 1
Set the factor 't2' equal to zero and attempt to solve: Simplifying t2 = 0 Solving t2 = 0 Move all terms containing t to the left, all other terms to the right. Simplifying t2 = 0 Take the square root of each side: t = {0}Subproblem 2
Set the factor '(3 + 8t)' equal to zero and attempt to solve: Simplifying 3 + 8t = 0 Solving 3 + 8t = 0 Move all terms containing t to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 8t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 8t = 0 + -3 8t = 0 + -3 Combine like terms: 0 + -3 = -3 8t = -3 Divide each side by '8'. t = -0.375 Simplifying t = -0.375Solution
t = {0, -0.375}
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