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Simplifying s2 + 13sy + 36y2 = 0 Reorder the terms: 13sy + s2 + 36y2 = 0 Solving 13sy + s2 + 36y2 = 0 Solving for variable 's'. Factor a trinomial. (s + 4y)(s + 9y) = 0Subproblem 1
Set the factor '(s + 4y)' equal to zero and attempt to solve: Simplifying s + 4y = 0 Solving s + 4y = 0 Move all terms containing s to the left, all other terms to the right. Add '-4y' to each side of the equation. s + 4y + -4y = 0 + -4y Combine like terms: 4y + -4y = 0 s + 0 = 0 + -4y s = 0 + -4y Remove the zero: s = -4y Simplifying s = -4ySubproblem 2
Set the factor '(s + 9y)' equal to zero and attempt to solve: Simplifying s + 9y = 0 Solving s + 9y = 0 Move all terms containing s to the left, all other terms to the right. Add '-9y' to each side of the equation. s + 9y + -9y = 0 + -9y Combine like terms: 9y + -9y = 0 s + 0 = 0 + -9y s = 0 + -9y Remove the zero: s = -9y Simplifying s = -9ySolution
s = {-4y, -9y}
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