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Simplifying 64t3 + -81t = 0 Reorder the terms: -81t + 64t3 = 0 Solving -81t + 64t3 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), 't'. t(-81 + 64t2) = 0 Factor a difference between two squares. t((9 + 8t)(-9 + 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 '(9 + 8t)' equal to zero and attempt to solve: Simplifying 9 + 8t = 0 Solving 9 + 8t = 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 + 8t = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 8t = 0 + -9 8t = 0 + -9 Combine like terms: 0 + -9 = -9 8t = -9 Divide each side by '8'. t = -1.125 Simplifying t = -1.125Subproblem 3
Set the factor '(-9 + 8t)' equal to zero and attempt to solve: Simplifying -9 + 8t = 0 Solving -9 + 8t = 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 + 8t = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 8t = 0 + 9 8t = 0 + 9 Combine like terms: 0 + 9 = 9 8t = 9 Divide each side by '8'. t = 1.125 Simplifying t = 1.125Solution
t = {0, -1.125, 1.125}
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