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Simplifying 5s4 + -125s2 = 0 Reorder the terms: -125s2 + 5s4 = 0 Solving -125s2 + 5s4 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '5s2'. 5s2(-25 + s2) = 0 Factor a difference between two squares. 5s2((5 + s)(-5 + s)) = 0 Ignore the factor 5.Subproblem 1
Set the factor 's2' equal to zero and attempt to solve: Simplifying s2 = 0 Solving s2 = 0 Move all terms containing s to the left, all other terms to the right. Simplifying s2 = 0 Take the square root of each side: s = {0}Subproblem 2
Set the factor '(5 + s)' equal to zero and attempt to solve: Simplifying 5 + s = 0 Solving 5 + s = 0 Move all terms containing s to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + s = 0 + -5 Combine like terms: 5 + -5 = 0 0 + s = 0 + -5 s = 0 + -5 Combine like terms: 0 + -5 = -5 s = -5 Simplifying s = -5Subproblem 3
Set the factor '(-5 + s)' equal to zero and attempt to solve: Simplifying -5 + s = 0 Solving -5 + s = 0 Move all terms containing s to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + s = 0 + 5 Combine like terms: -5 + 5 = 0 0 + s = 0 + 5 s = 0 + 5 Combine like terms: 0 + 5 = 5 s = 5 Simplifying s = 5Solution
s = {0, -5, 5}
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