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