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Simplifying 2s4 + 48s2 + -50 = 0 Reorder the terms: -50 + 48s2 + 2s4 = 0 Solving -50 + 48s2 + 2s4 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '2'. 2(-25 + 24s2 + s4) = 0 Factor a trinomial. 2((-25 + -1s2)(1 + -1s2)) = 0 Factor a difference between two squares. 2((-25 + -1s2)((1 + s)(1 + -1s))) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-25 + -1s2)' equal to zero and attempt to solve: Simplifying -25 + -1s2 = 0 Solving -25 + -1s2 = 0 Move all terms containing s to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + -1s2 = 0 + 25 Combine like terms: -25 + 25 = 0 0 + -1s2 = 0 + 25 -1s2 = 0 + 25 Combine like terms: 0 + 25 = 25 -1s2 = 25 Divide each side by '-1'. s2 = -25 Simplifying s2 = -25 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(1 + s)' equal to zero and attempt to solve: Simplifying 1 + s = 0 Solving 1 + s = 0 Move all terms containing s to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + s = 0 + -1 s = 0 + -1 Combine like terms: 0 + -1 = -1 s = -1 Simplifying s = -1Subproblem 3
Set the factor '(1 + -1s)' equal to zero and attempt to solve: Simplifying 1 + -1s = 0 Solving 1 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1s = 0 + -1 -1s = 0 + -1 Combine like terms: 0 + -1 = -1 -1s = -1 Divide each side by '-1'. s = 1 Simplifying s = 1Solution
s = {-1, 1}
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