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Simplifying 60t + -16t3 = 0 Solving 60t + -16t3 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '4t'. 4t(15 + -4t2) = 0 Ignore the factor 4.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 '(15 + -4t2)' equal to zero and attempt to solve: Simplifying 15 + -4t2 = 0 Solving 15 + -4t2 = 0 Move all terms containing t to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -4t2 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -4t2 = 0 + -15 -4t2 = 0 + -15 Combine like terms: 0 + -15 = -15 -4t2 = -15 Divide each side by '-4'. t2 = 3.75 Simplifying t2 = 3.75 Take the square root of each side: t = {-1.936491673, 1.936491673}Solution
t = {0, -1.936491673, 1.936491673}
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