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Simplifying 72s3v + -50sv3 = 0 Reorder the terms: -50sv3 + 72s3v = 0 Solving -50sv3 + 72s3v = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '2sv'. 2sv(-25v2 + 36s2) = 0 Factor a difference between two squares. 2sv((5v + 6s)(-5v + 6s)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'sv' equal to zero and attempt to solve: Simplifying sv = 0 Solving sv = 0 Move all terms containing s to the left, all other terms to the right. Simplifying sv = 0 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 '(5v + 6s)' equal to zero and attempt to solve: Simplifying 5v + 6s = 0 Reorder the terms: 6s + 5v = 0 Solving 6s + 5v = 0 Move all terms containing s to the left, all other terms to the right. Add '-5v' to each side of the equation. 6s + 5v + -5v = 0 + -5v Combine like terms: 5v + -5v = 0 6s + 0 = 0 + -5v 6s = 0 + -5v Remove the zero: 6s = -5v Divide each side by '6'. s = -0.8333333333v Simplifying s = -0.8333333333vSubproblem 3
Set the factor '(-5v + 6s)' equal to zero and attempt to solve: Simplifying -5v + 6s = 0 Reorder the terms: 6s + -5v = 0 Solving 6s + -5v = 0 Move all terms containing s to the left, all other terms to the right. Add '5v' to each side of the equation. 6s + -5v + 5v = 0 + 5v Combine like terms: -5v + 5v = 0 6s + 0 = 0 + 5v 6s = 0 + 5v Remove the zero: 6s = 5v Divide each side by '6'. s = 0.8333333333v Simplifying s = 0.8333333333vSolution
s = {-0.8333333333v, 0.8333333333v}
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