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Simplifying 2s4 + -4s2 = 0 Reorder the terms: -4s2 + 2s4 = 0 Solving -4s2 + 2s4 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '2s2'. 2s2(-2 + s2) = 0 Ignore the factor 2.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 '(-2 + s2)' equal to zero and attempt to solve: Simplifying -2 + s2 = 0 Solving -2 + s2 = 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 + s2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + s2 = 0 + 2 s2 = 0 + 2 Combine like terms: 0 + 2 = 2 s2 = 2 Simplifying s2 = 2 Take the square root of each side: s = {-1.414213562, 1.414213562}Solution
s = {0, -1.414213562, 1.414213562}
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