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Simplifying 2s4 + 12s2 + 16 = 0 Reorder the terms: 16 + 12s2 + 2s4 = 0 Solving 16 + 12s2 + 2s4 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '2'. 2(8 + 6s2 + s4) = 0 Factor a trinomial. 2((4 + s2)(2 + s2)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(4 + s2)' equal to zero and attempt to solve: Simplifying 4 + s2 = 0 Solving 4 + s2 = 0 Move all terms containing s to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + s2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + s2 = 0 + -4 s2 = 0 + -4 Combine like terms: 0 + -4 = -4 s2 = -4 Simplifying s2 = -4 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 '(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 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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