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Simplifying 10s3 = 40s Solving 10s3 = 40s Solving for variable 's'. Reorder the terms: -40s + 10s3 = 40s + -40s Combine like terms: 40s + -40s = 0 -40s + 10s3 = 0 Factor out the Greatest Common Factor (GCF), '10s'. 10s(-4 + s2) = 0 Factor a difference between two squares. 10s((2 + s)(-2 + s)) = 0 Ignore the factor 10.Subproblem 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 '(2 + s)' equal to zero and attempt to solve: Simplifying 2 + s = 0 Solving 2 + s = 0 Move all terms containing s to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + s = 0 + -2 Combine like terms: 2 + -2 = 0 0 + s = 0 + -2 s = 0 + -2 Combine like terms: 0 + -2 = -2 s = -2 Simplifying s = -2Subproblem 3
Set the factor '(-2 + s)' equal to zero and attempt to solve: Simplifying -2 + s = 0 Solving -2 + s = 0 Move all terms containing s to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + s = 0 + 2 Combine like terms: -2 + 2 = 0 0 + s = 0 + 2 s = 0 + 2 Combine like terms: 0 + 2 = 2 s = 2 Simplifying s = 2Solution
s = {0, -2, 2}
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