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Simplifying s2 + 11sy + 28y2 = 0 Reorder the terms: 11sy + s2 + 28y2 = 0 Solving 11sy + s2 + 28y2 = 0 Solving for variable 's'. Factor a trinomial. (s + 4y)(s + 7y) = 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 + 7y)' equal to zero and attempt to solve: Simplifying s + 7y = 0 Solving s + 7y = 0 Move all terms containing s to the left, all other terms to the right. Add '-7y' to each side of the equation. s + 7y + -7y = 0 + -7y Combine like terms: 7y + -7y = 0 s + 0 = 0 + -7y s = 0 + -7y Remove the zero: s = -7y Simplifying s = -7ySolution
s = {-4y, -7y}
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