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Simplifying s2 + -1sy + -42y2 = 0 Reorder the terms: -1sy + s2 + -42y2 = 0 Solving -1sy + s2 + -42y2 = 0 Solving for variable 's'. Factor a trinomial. (s + -7y)(s + 6y) = 0Subproblem 1
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 = 7ySubproblem 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 = {7y, -6y}
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