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Simplifying 64t3 + -9t = 0 Reorder the terms: -9t + 64t3 = 0 Solving -9t + 64t3 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), 't'. t(-9 + 64t2) = 0 Factor a difference between two squares. t((3 + 8t)(-3 + 8t)) = 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 '(3 + 8t)' equal to zero and attempt to solve: Simplifying 3 + 8t = 0 Solving 3 + 8t = 0 Move all terms containing t to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 8t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 8t = 0 + -3 8t = 0 + -3 Combine like terms: 0 + -3 = -3 8t = -3 Divide each side by '8'. t = -0.375 Simplifying t = -0.375Subproblem 3
Set the factor '(-3 + 8t)' equal to zero and attempt to solve: Simplifying -3 + 8t = 0 Solving -3 + 8t = 0 Move all terms containing t to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 8t = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 8t = 0 + 3 8t = 0 + 3 Combine like terms: 0 + 3 = 3 8t = 3 Divide each side by '8'. t = 0.375 Simplifying t = 0.375Solution
t = {0, -0.375, 0.375}
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