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Simplifying 35s2y + 10s3y = 5s2y Solving 35s2y + 10s3y = 5s2y Solving for variable 's'. Reorder the terms: 35s2y + -5s2y + 10s3y = 5s2y + -5s2y Combine like terms: 35s2y + -5s2y = 30s2y 30s2y + 10s3y = 5s2y + -5s2y Combine like terms: 5s2y + -5s2y = 0 30s2y + 10s3y = 0 Factor out the Greatest Common Factor (GCF), '10s2y'. 10s2y(3 + s) = 0 Ignore the factor 10.Subproblem 1
Set the factor 's2y' equal to zero and attempt to solve: Simplifying s2y = 0 Solving s2y = 0 Move all terms containing s to the left, all other terms to the right. Simplifying s2y = 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 '(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}
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