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