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Simplifying 0 = 4s4 + -17s2 + 4 Reorder the terms: 0 = 4 + -17s2 + 4s4 Solving 0 = 4 + -17s2 + 4s4 Solving for variable 's'. Combine like terms: 0 + -4 = -4 -4 + 17s2 + -4s4 = 4 + -17s2 + 4s4 + -4 + 17s2 + -4s4 Reorder the terms: -4 + 17s2 + -4s4 = 4 + -4 + -17s2 + 17s2 + 4s4 + -4s4 Combine like terms: 4 + -4 = 0 -4 + 17s2 + -4s4 = 0 + -17s2 + 17s2 + 4s4 + -4s4 -4 + 17s2 + -4s4 = -17s2 + 17s2 + 4s4 + -4s4 Combine like terms: -17s2 + 17s2 = 0 -4 + 17s2 + -4s4 = 0 + 4s4 + -4s4 -4 + 17s2 + -4s4 = 4s4 + -4s4 Combine like terms: 4s4 + -4s4 = 0 -4 + 17s2 + -4s4 = 0 Factor a trinomial. (-4 + s2)(1 + -4s2) = 0 Factor a difference between two squares. ((2 + s)(-2 + s))(1 + -4s2) = 0 Factor a difference between two squares. ((1 + 2s)(1 + -2s))(2 + s)(-2 + s) = 0Subproblem 1
Set the factor '(2 + s)' equal to zero and attempt to solve: Simplifying 2 + s = 0 Solving 2 + s = 0 Move all terms containing s to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + s = 0 + -2 Combine like terms: 2 + -2 = 0 0 + s = 0 + -2 s = 0 + -2 Combine like terms: 0 + -2 = -2 s = -2 Simplifying s = -2Subproblem 2
Set the factor '(-2 + s)' equal to zero and attempt to solve: Simplifying -2 + s = 0 Solving -2 + s = 0 Move all terms containing s to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + s = 0 + 2 Combine like terms: -2 + 2 = 0 0 + s = 0 + 2 s = 0 + 2 Combine like terms: 0 + 2 = 2 s = 2 Simplifying s = 2Subproblem 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 = -0.5Subproblem 4
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 = {-2, 2, -0.5, 0.5}
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