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Simplifying 9y + -24sy + 16s2y = 0 Reorder the terms: -24sy + 16s2y + 9y = 0 Solving -24sy + 16s2y + 9y = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), 'y'. y(-24s + 16s2 + 9) = 0 Factor a trinomial. y((4s + -3)(4s + -3)) = 0Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing s to the left, all other terms to the right. Add '-1y' to each side of the equation. y + -1y = 0 + -1y Remove the zero: 0 = -1y Simplifying 0 = -1y 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 '(4s + -3)' equal to zero and attempt to solve: Simplifying 4s + -3 = 0 Reorder the terms: -3 + 4s = 0 Solving -3 + 4s = 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 + 4s = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 4s = 0 + 3 4s = 0 + 3 Combine like terms: 0 + 3 = 3 4s = 3 Divide each side by '4'. s = 0.75 Simplifying s = 0.75Subproblem 3
Set the factor '(4s + -3)' equal to zero and attempt to solve: Simplifying 4s + -3 = 0 Reorder the terms: -3 + 4s = 0 Solving -3 + 4s = 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 + 4s = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 4s = 0 + 3 4s = 0 + 3 Combine like terms: 0 + 3 = 3 4s = 3 Divide each side by '4'. s = 0.75 Simplifying s = 0.75Solution
s = {0.75, 0.75}
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