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Simplifying 5s4 + 22s2t + 8t2 = 0 Reorder the terms: 22s2t + 5s4 + 8t2 = 0 Solving 22s2t + 5s4 + 8t2 = 0 Solving for variable 's'. Factor a trinomial. (5s2 + 2t)(s2 + 4t) = 0Subproblem 1
Set the factor '(5s2 + 2t)' equal to zero and attempt to solve: Simplifying 5s2 + 2t = 0 Solving 5s2 + 2t = 0 Move all terms containing s to the left, all other terms to the right. Add '-2t' to each side of the equation. 5s2 + 2t + -2t = 0 + -2t Combine like terms: 2t + -2t = 0 5s2 + 0 = 0 + -2t 5s2 = 0 + -2t Remove the zero: 5s2 = -2t Divide each side by '5'. s2 = -0.4t Simplifying s2 = -0.4t 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 '(s2 + 4t)' equal to zero and attempt to solve: Simplifying s2 + 4t = 0 Solving s2 + 4t = 0 Move all terms containing s to the left, all other terms to the right. Add '-4t' to each side of the equation. s2 + 4t + -4t = 0 + -4t Combine like terms: 4t + -4t = 0 s2 + 0 = 0 + -4t s2 = 0 + -4t Remove the zero: s2 = -4t Simplifying s2 = -4t 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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