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Simplifying 4s5 + -64s = 0 Reorder the terms: -64s + 4s5 = 0 Solving -64s + 4s5 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '4s'. 4s(-16 + s4) = 0 Factor a difference between two squares. 4s((4 + s2)(-4 + s2)) = 0 Factor a difference between two squares. 4s((4 + s2)((2 + s)(-2 + s))) = 0 Ignore the factor 4.Subproblem 1
Set the factor 's' equal to zero and attempt to solve: Simplifying s = 0 Solving s = 0 Move all terms containing s to the left, all other terms to the right. Simplifying s = 0Subproblem 2
Set the factor '(4 + s2)' equal to zero and attempt to solve: Simplifying 4 + s2 = 0 Solving 4 + s2 = 0 Move all terms containing s to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + s2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + s2 = 0 + -4 s2 = 0 + -4 Combine like terms: 0 + -4 = -4 s2 = -4 Simplifying s2 = -4 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
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 4
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 = 2Solution
s = {0, -2, 2}
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