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Simplifying 60t3 + -120t = 0 Reorder the terms: -120t + 60t3 = 0 Solving -120t + 60t3 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '60t'. 60t(-2 + t2) = 0 Ignore the factor 60.Subproblem 1
Set the factor 't' equal to zero and attempt to solve: Simplifying t = 0 Solving t = 0 Move all terms containing t to the left, all other terms to the right. Simplifying t = 0Subproblem 2
Set the factor '(-2 + t2)' equal to zero and attempt to solve: Simplifying -2 + t2 = 0 Solving -2 + t2 = 0 Move all terms containing t to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + t2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + t2 = 0 + 2 t2 = 0 + 2 Combine like terms: 0 + 2 = 2 t2 = 2 Simplifying t2 = 2 Take the square root of each side: t = {-1.414213562, 1.414213562}Solution
t = {0, -1.414213562, 1.414213562}
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