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Simplifying (r2 + s)(t + -1u) = 24 Multiply (r2 + s) * (t + -1u) (r2(t + -1u) + s(t + -1u)) = 24 ((t * r2 + -1u * r2) + s(t + -1u)) = 24 ((r2t + -1r2u) + s(t + -1u)) = 24 (r2t + -1r2u + (t * s + -1u * s)) = 24 (r2t + -1r2u + (st + -1su)) = 24 (r2t + -1r2u + st + -1su) = 24 Solving r2t + -1r2u + st + -1su = 24 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. r2t + -1r2u + st + -1st + -1su = 24 + -1st Combine like terms: st + -1st = 0 r2t + -1r2u + 0 + -1su = 24 + -1st r2t + -1r2u + -1su = 24 + -1st Add 'su' to each side of the equation. r2t + -1r2u + -1su + su = 24 + -1st + su Combine like terms: -1su + su = 0 r2t + -1r2u + 0 = 24 + -1st + su r2t + -1r2u = 24 + -1st + su Reorder the terms: -24 + r2t + -1r2u + st + -1su = 24 + -1st + su + -24 + st + -1su Reorder the terms: -24 + r2t + -1r2u + st + -1su = 24 + -24 + -1st + st + su + -1su Combine like terms: 24 + -24 = 0 -24 + r2t + -1r2u + st + -1su = 0 + -1st + st + su + -1su -24 + r2t + -1r2u + st + -1su = -1st + st + su + -1su Combine like terms: -1st + st = 0 -24 + r2t + -1r2u + st + -1su = 0 + su + -1su -24 + r2t + -1r2u + st + -1su = su + -1su Combine like terms: su + -1su = 0 -24 + r2t + -1r2u + st + -1su = 0 The solution to this equation could not be determined.
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