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Simplifying 6s4 + 12s2 + 6 = 0 Reorder the terms: 6 + 12s2 + 6s4 = 0 Solving 6 + 12s2 + 6s4 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '6'. 6(1 + 2s2 + s4) = 0 Factor a trinomial. 6((1 + s2)(1 + s2)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(1 + s2)' equal to zero and attempt to solve: Simplifying 1 + s2 = 0 Solving 1 + s2 = 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 + s2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + s2 = 0 + -1 s2 = 0 + -1 Combine like terms: 0 + -1 = -1 s2 = -1 Simplifying s2 = -1 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 + s2)' equal to zero and attempt to solve: Simplifying 1 + s2 = 0 Solving 1 + s2 = 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 + s2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + s2 = 0 + -1 s2 = 0 + -1 Combine like terms: 0 + -1 = -1 s2 = -1 Simplifying s2 = -1 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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