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Simplifying -4t3 + 8t = 0 Reorder the terms: 8t + -4t3 = 0 Solving 8t + -4t3 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '4t'. 4t(2 + -1t2) = 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 '(2 + -1t2)' equal to zero and attempt to solve: Simplifying 2 + -1t2 = 0 Solving 2 + -1t2 = 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 + -1t2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1t2 = 0 + -2 -1t2 = 0 + -2 Combine like terms: 0 + -2 = -2 -1t2 = -2 Divide each side by '-1'. 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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