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Simplifying 5s4 + -405 = 0 Reorder the terms: -405 + 5s4 = 0 Solving -405 + 5s4 = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '405' to each side of the equation. -405 + 405 + 5s4 = 0 + 405 Combine like terms: -405 + 405 = 0 0 + 5s4 = 0 + 405 5s4 = 0 + 405 Combine like terms: 0 + 405 = 405 5s4 = 405 Divide each side by '5'. s4 = 81 Simplifying s4 = 81 Reorder the terms: -81 + s4 = 81 + -81 Combine like terms: 81 + -81 = 0 -81 + s4 = 0 Factor a difference between two squares. (9 + s2)(-9 + s2) = 0 Factor a difference between two squares. (9 + s2)((3 + s)(-3 + s)) = 0Subproblem 1
Set the factor '(9 + s2)' equal to zero and attempt to solve: Simplifying 9 + s2 = 0 Solving 9 + s2 = 0 Move all terms containing s to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + s2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + s2 = 0 + -9 s2 = 0 + -9 Combine like terms: 0 + -9 = -9 s2 = -9 Simplifying s2 = -9 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 '(3 + s)' equal to zero and attempt to solve: Simplifying 3 + s = 0 Solving 3 + s = 0 Move all terms containing s to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + s = 0 + -3 Combine like terms: 3 + -3 = 0 0 + s = 0 + -3 s = 0 + -3 Combine like terms: 0 + -3 = -3 s = -3 Simplifying s = -3Subproblem 3
Set the factor '(-3 + s)' equal to zero and attempt to solve: Simplifying -3 + s = 0 Solving -3 + s = 0 Move all terms containing s to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + s = 0 + 3 Combine like terms: -3 + 3 = 0 0 + s = 0 + 3 s = 0 + 3 Combine like terms: 0 + 3 = 3 s = 3 Simplifying s = 3Solution
s = {-3, 3}
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