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Simplifying 65t3 + -25t = 0 Reorder the terms: -25t + 65t3 = 0 Solving -25t + 65t3 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '5t'. 5t(-5 + 13t2) = 0 Ignore the factor 5.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 '(-5 + 13t2)' equal to zero and attempt to solve: Simplifying -5 + 13t2 = 0 Solving -5 + 13t2 = 0 Move all terms containing t to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 13t2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 13t2 = 0 + 5 13t2 = 0 + 5 Combine like terms: 0 + 5 = 5 13t2 = 5 Divide each side by '13'. t2 = 0.3846153846 Simplifying t2 = 0.3846153846 Take the square root of each side: t = {-0.620173673, 0.620173673}Solution
t = {0, -0.620173673, 0.620173673}
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