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Simplifying s4 + 15s2 + 54 = 0 Reorder the terms: 54 + 15s2 + s4 = 0 Solving 54 + 15s2 + s4 = 0 Solving for variable 's'. Factor a trinomial. (9 + s2)(6 + s2) = 0Subproblem 1
Set the factor '(9 + s2)' equal to zero and attempt to solve: Simplifying 9 + s2 = 0 Solving 9 + s2 = 0 Move all terms containing s to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + s2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + s2 = 0 + -9 s2 = 0 + -9 Combine like terms: 0 + -9 = -9 s2 = -9 Simplifying s2 = -9 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 '(6 + s2)' equal to zero and attempt to solve: Simplifying 6 + s2 = 0 Solving 6 + s2 = 0 Move all terms containing s to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + s2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + s2 = 0 + -6 s2 = 0 + -6 Combine like terms: 0 + -6 = -6 s2 = -6 Simplifying s2 = -6 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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