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Simplifying 4s4 + 27s2 + -7 = 0 Reorder the terms: -7 + 27s2 + 4s4 = 0 Solving -7 + 27s2 + 4s4 = 0 Solving for variable 's'. Factor a trinomial. (-7 + -1s2)(1 + -4s2) = 0 Factor a difference between two squares. (-7 + -1s2)((1 + 2s)(1 + -2s)) = 0Subproblem 1
Set the factor '(-7 + -1s2)' equal to zero and attempt to solve: Simplifying -7 + -1s2 = 0 Solving -7 + -1s2 = 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 + -1s2 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1s2 = 0 + 7 -1s2 = 0 + 7 Combine like terms: 0 + 7 = 7 -1s2 = 7 Divide each side by '-1'. s2 = -7 Simplifying s2 = -7 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 + 2s)' equal to zero and attempt to solve: Simplifying 1 + 2s = 0 Solving 1 + 2s = 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 + 2s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2s = 0 + -1 2s = 0 + -1 Combine like terms: 0 + -1 = -1 2s = -1 Divide each side by '2'. s = -0.5 Simplifying s = -0.5Subproblem 3
Set the factor '(1 + -2s)' equal to zero and attempt to solve: Simplifying 1 + -2s = 0 Solving 1 + -2s = 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 + -2s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2s = 0 + -1 -2s = 0 + -1 Combine like terms: 0 + -1 = -1 -2s = -1 Divide each side by '-2'. s = 0.5 Simplifying s = 0.5Solution
s = {-0.5, 0.5}
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