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