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Simplifying 25s3 + -16s = 0 Reorder the terms: -16s + 25s3 = 0 Solving -16s + 25s3 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), 's'. s(-16 + 25s2) = 0 Factor a difference between two squares. s((4 + 5s)(-4 + 5s)) = 0Subproblem 1
Set the factor 's' equal to zero and attempt to solve: Simplifying s = 0 Solving s = 0 Move all terms containing s to the left, all other terms to the right. Simplifying s = 0Subproblem 2
Set the factor '(4 + 5s)' equal to zero and attempt to solve: Simplifying 4 + 5s = 0 Solving 4 + 5s = 0 Move all terms containing s to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5s = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5s = 0 + -4 5s = 0 + -4 Combine like terms: 0 + -4 = -4 5s = -4 Divide each side by '5'. s = -0.8 Simplifying s = -0.8Subproblem 3
Set the factor '(-4 + 5s)' equal to zero and attempt to solve: Simplifying -4 + 5s = 0 Solving -4 + 5s = 0 Move all terms containing s to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 5s = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 5s = 0 + 4 5s = 0 + 4 Combine like terms: 0 + 4 = 4 5s = 4 Divide each side by '5'. s = 0.8 Simplifying s = 0.8Solution
s = {0, -0.8, 0.8}
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