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Simplifying s2 + 9sy + 18y2 = 0 Reorder the terms: 9sy + s2 + 18y2 = 0 Solving 9sy + s2 + 18y2 = 0 Solving for variable 's'. Factor a trinomial. (s + 3y)(s + 6y) = 0Subproblem 1
Set the factor '(s + 3y)' equal to zero and attempt to solve: Simplifying s + 3y = 0 Solving s + 3y = 0 Move all terms containing s to the left, all other terms to the right. Add '-3y' to each side of the equation. s + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 s + 0 = 0 + -3y s = 0 + -3y Remove the zero: s = -3y Simplifying s = -3ySubproblem 2
Set the factor '(s + 6y)' equal to zero and attempt to solve: Simplifying s + 6y = 0 Solving s + 6y = 0 Move all terms containing s to the left, all other terms to the right. Add '-6y' to each side of the equation. s + 6y + -6y = 0 + -6y Combine like terms: 6y + -6y = 0 s + 0 = 0 + -6y s = 0 + -6y Remove the zero: s = -6y Simplifying s = -6ySolution
s = {-3y, -6y}
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