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Simplifying s2 + 14sy + 48y2 = 0 Reorder the terms: 14sy + s2 + 48y2 = 0 Solving 14sy + s2 + 48y2 = 0 Solving for variable 's'. Factor a trinomial. (s + 6y)(s + 8y) = 0Subproblem 1
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 = -6ySubproblem 2
Set the factor '(s + 8y)' equal to zero and attempt to solve: Simplifying s + 8y = 0 Solving s + 8y = 0 Move all terms containing s to the left, all other terms to the right. Add '-8y' to each side of the equation. s + 8y + -8y = 0 + -8y Combine like terms: 8y + -8y = 0 s + 0 = 0 + -8y s = 0 + -8y Remove the zero: s = -8y Simplifying s = -8ySolution
s = {-6y, -8y}
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