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