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Simplifying 10s2 + -2s4 = 0 Solving 10s2 + -2s4 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '2s2'. 2s2(5 + -1s2) = 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 '(5 + -1s2)' equal to zero and attempt to solve: Simplifying 5 + -1s2 = 0 Solving 5 + -1s2 = 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 + -1s2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1s2 = 0 + -5 -1s2 = 0 + -5 Combine like terms: 0 + -5 = -5 -1s2 = -5 Divide each side by '-1'. s2 = 5 Simplifying s2 = 5 Take the square root of each side: s = {-2.236067978, 2.236067978}Solution
s = {0, -2.236067978, 2.236067978}
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