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Simplifying 64t3 + -1t = 0 Reorder the terms: -1t + 64t3 = 0 Solving -1t + 64t3 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), 't'. t(-1 + 64t2) = 0 Factor a difference between two squares. t((1 + 8t)(-1 + 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 '(1 + 8t)' equal to zero and attempt to solve: Simplifying 1 + 8t = 0 Solving 1 + 8t = 0 Move all terms containing t to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 8t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 8t = 0 + -1 8t = 0 + -1 Combine like terms: 0 + -1 = -1 8t = -1 Divide each side by '8'. t = -0.125 Simplifying t = -0.125Subproblem 3
Set the factor '(-1 + 8t)' equal to zero and attempt to solve: Simplifying -1 + 8t = 0 Solving -1 + 8t = 0 Move all terms containing t to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 8t = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 8t = 0 + 1 8t = 0 + 1 Combine like terms: 0 + 1 = 1 8t = 1 Divide each side by '8'. t = 0.125 Simplifying t = 0.125Solution
t = {0, -0.125, 0.125}
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