A*(b-c)=ab-ac-2bc

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Solution for A*(b-c)=ab-ac-2bc equation:


Simplifying
A(b + -1c) = ab + -1ac + -2bc
(b * A + -1c * A) = ab + -1ac + -2bc
(bA + -1cA) = ab + -1ac + -2bc

Solving
bA + -1cA = ab + -1ac + -2bc

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 + -1cA = ab + -1ac + -1ab + -2bc

Reorder the terms:
-1ab + bA + -1cA = ab + -1ac + -1ab + -2bc

Reorder the terms:
-1ab + bA + -1cA = ab + -1ab + -1ac + -2bc

Combine like terms: ab + -1ab = 0
-1ab + bA + -1cA = 0 + -1ac + -2bc
-1ab + bA + -1cA = -1ac + -2bc

Add '2bc' to each side of the equation.
-1ab + bA + 2bc + -1cA = -1ac + -2bc + 2bc

Combine like terms: -2bc + 2bc = 0
-1ab + bA + 2bc + -1cA = -1ac + 0
-1ab + bA + 2bc + -1cA = -1ac

Add 'cA' to each side of the equation.
-1ab + bA + 2bc + -1cA + cA = -1ac + cA

Combine like terms: -1cA + cA = 0
-1ab + bA + 2bc + 0 = -1ac + cA
-1ab + bA + 2bc = -1ac + cA

Reorder the terms:
-1ab + ac + bA + 2bc + -1cA = -1ac + cA + ac + -1cA

Reorder the terms:
-1ab + ac + bA + 2bc + -1cA = -1ac + ac + cA + -1cA

Combine like terms: -1ac + ac = 0
-1ab + ac + bA + 2bc + -1cA = 0 + cA + -1cA
-1ab + ac + bA + 2bc + -1cA = cA + -1cA

Combine like terms: cA + -1cA = 0
-1ab + ac + bA + 2bc + -1cA = 0

The solution to this equation could not be determined.

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