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Simplifying 2st4 + -1250s = 0 Reorder the terms: -1250s + 2st4 = 0 Solving -1250s + 2st4 = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '2s'. 2s(-625 + t4) = 0 Factor a difference between two squares. 2s((25 + t2)(-25 + t2)) = 0 Factor a difference between two squares. 2s((25 + t2)((5 + t)(-5 + t))) = 0 Ignore the factor 2.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 '(25 + t2)' equal to zero and attempt to solve: Simplifying 25 + t2 = 0 Solving 25 + t2 = 0 Move all terms containing s to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + t2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + t2 = 0 + -25 t2 = 0 + -25 Combine like terms: 0 + -25 = -25 t2 = -25 Add '-1t2' to each side of the equation. t2 + -1t2 = -25 + -1t2 Combine like terms: t2 + -1t2 = 0 0 = -25 + -1t2 Simplifying 0 = -25 + -1t2 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 '(5 + t)' equal to zero and attempt to solve: Simplifying 5 + t = 0 Solving 5 + t = 0 Move all terms containing s to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + t = 0 + -5 t = 0 + -5 Combine like terms: 0 + -5 = -5 t = -5 Add '-1t' to each side of the equation. t + -1t = -5 + -1t Combine like terms: t + -1t = 0 0 = -5 + -1t Simplifying 0 = -5 + -1t The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 4
Set the factor '(-5 + t)' equal to zero and attempt to solve: Simplifying -5 + t = 0 Solving -5 + t = 0 Move all terms containing s to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + t = 0 + 5 Combine like terms: -5 + 5 = 0 0 + t = 0 + 5 t = 0 + 5 Combine like terms: 0 + 5 = 5 t = 5 Add '-1t' to each side of the equation. t + -1t = 5 + -1t Combine like terms: t + -1t = 0 0 = 5 + -1t Simplifying 0 = 5 + -1t The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
s = {0}
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