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Simplifying (r + s)(t + u) = 0 Multiply (r + s) * (t + u) (r(t + u) + s(t + u)) = 0 ((t * r + u * r) + s(t + u)) = 0 ((rt + ru) + s(t + u)) = 0 (rt + ru + (t * s + u * s)) = 0 (rt + ru + (st + su)) = 0 (rt + ru + st + su) = 0 Solving rt + ru + st + su = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1st' to each side of the equation. rt + ru + st + -1st + su = 0 + -1st Combine like terms: st + -1st = 0 rt + ru + 0 + su = 0 + -1st rt + ru + su = 0 + -1st Remove the zero: rt + ru + su = -1st Add '-1su' to each side of the equation. rt + ru + su + -1su = -1st + -1su Combine like terms: su + -1su = 0 rt + ru + 0 = -1st + -1su rt + ru = -1st + -1su Reorder the terms: rt + ru + st + su = -1st + st + -1su + su Combine like terms: -1st + st = 0 rt + ru + st + su = 0 + -1su + su rt + ru + st + su = -1su + su Combine like terms: -1su + su = 0 rt + ru + st + su = 0 The solution to this equation could not be determined.
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