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Simplifying 8t3 + -9t = 0 Reorder the terms: -9t + 8t3 = 0 Solving -9t + 8t3 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), 't'. t(-9 + 8t2) = 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 '(-9 + 8t2)' equal to zero and attempt to solve: Simplifying -9 + 8t2 = 0 Solving -9 + 8t2 = 0 Move all terms containing t to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 8t2 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 8t2 = 0 + 9 8t2 = 0 + 9 Combine like terms: 0 + 9 = 9 8t2 = 9 Divide each side by '8'. t2 = 1.125 Simplifying t2 = 1.125 Take the square root of each side: t = {-1.060660172, 1.060660172}Solution
t = {0, -1.060660172, 1.060660172}
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