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Simplifying 64t3 + -25t = 0 Reorder the terms: -25t + 64t3 = 0 Solving -25t + 64t3 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), 't'. t(-25 + 64t2) = 0 Factor a difference between two squares. t((5 + 8t)(-5 + 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 '(5 + 8t)' equal to zero and attempt to solve: Simplifying 5 + 8t = 0 Solving 5 + 8t = 0 Move all terms containing t to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 8t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 8t = 0 + -5 8t = 0 + -5 Combine like terms: 0 + -5 = -5 8t = -5 Divide each side by '8'. t = -0.625 Simplifying t = -0.625Subproblem 3
Set the factor '(-5 + 8t)' equal to zero and attempt to solve: Simplifying -5 + 8t = 0 Solving -5 + 8t = 0 Move all terms containing t to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 8t = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 8t = 0 + 5 8t = 0 + 5 Combine like terms: 0 + 5 = 5 8t = 5 Divide each side by '8'. t = 0.625 Simplifying t = 0.625Solution
t = {0, -0.625, 0.625}
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