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Simplifying 5s4 + 40s2 + 7s2 + 56 = 0 Reorder the terms: 56 + 40s2 + 7s2 + 5s4 = 0 Combine like terms: 40s2 + 7s2 = 47s2 56 + 47s2 + 5s4 = 0 Solving 56 + 47s2 + 5s4 = 0 Solving for variable 's'. Factor a trinomial. (8 + s2)(7 + 5s2) = 0Subproblem 1
Set the factor '(8 + s2)' equal to zero and attempt to solve: Simplifying 8 + s2 = 0 Solving 8 + s2 = 0 Move all terms containing s to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + s2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + s2 = 0 + -8 s2 = 0 + -8 Combine like terms: 0 + -8 = -8 s2 = -8 Simplifying s2 = -8 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 '(7 + 5s2)' equal to zero and attempt to solve: Simplifying 7 + 5s2 = 0 Solving 7 + 5s2 = 0 Move all terms containing s to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 5s2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5s2 = 0 + -7 5s2 = 0 + -7 Combine like terms: 0 + -7 = -7 5s2 = -7 Divide each side by '5'. s2 = -1.4 Simplifying s2 = -1.4 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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