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Simplifying 9t3 + -16t = 0 Reorder the terms: -16t + 9t3 = 0 Solving -16t + 9t3 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), 't'. t(-16 + 9t2) = 0 Factor a difference between two squares. t((4 + 3t)(-4 + 3t)) = 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 '(4 + 3t)' equal to zero and attempt to solve: Simplifying 4 + 3t = 0 Solving 4 + 3t = 0 Move all terms containing t to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3t = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3t = 0 + -4 3t = 0 + -4 Combine like terms: 0 + -4 = -4 3t = -4 Divide each side by '3'. t = -1.333333333 Simplifying t = -1.333333333Subproblem 3
Set the factor '(-4 + 3t)' equal to zero and attempt to solve: Simplifying -4 + 3t = 0 Solving -4 + 3t = 0 Move all terms containing t to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 3t = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3t = 0 + 4 3t = 0 + 4 Combine like terms: 0 + 4 = 4 3t = 4 Divide each side by '3'. t = 1.333333333 Simplifying t = 1.333333333Solution
t = {0, -1.333333333, 1.333333333}
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