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Simplifying 4t3 + -15t = 0 Reorder the terms: -15t + 4t3 = 0 Solving -15t + 4t3 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), 't'. t(-15 + 4t2) = 0Subproblem 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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