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Simplifying (a + b)(c + d) = 0 Multiply (a + b) * (c + d) (a(c + d) + b(c + d)) = 0 ((c * a + d * a) + b(c + d)) = 0 ((ac + ad) + b(c + d)) = 0 (ac + ad + (c * b + d * b)) = 0 (ac + ad + (bc + bd)) = 0 (ac + ad + bc + bd) = 0 Solving ac + ad + bc + bd = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1bc' to each side of the equation. ac + ad + bc + -1bc + bd = 0 + -1bc Combine like terms: bc + -1bc = 0 ac + ad + 0 + bd = 0 + -1bc ac + ad + bd = 0 + -1bc Remove the zero: ac + ad + bd = -1bc Add '-1bd' to each side of the equation. ac + ad + bd + -1bd = -1bc + -1bd Combine like terms: bd + -1bd = 0 ac + ad + 0 = -1bc + -1bd ac + ad = -1bc + -1bd Reorder the terms: ac + ad + bc + bd = -1bc + bc + -1bd + bd Combine like terms: -1bc + bc = 0 ac + ad + bc + bd = 0 + -1bd + bd ac + ad + bc + bd = -1bd + bd Combine like terms: -1bd + bd = 0 ac + ad + bc + bd = 0 The solution to this equation could not be determined.
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