(A+b+c)(a+b-3)=

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Solution for (A+b+c)(a+b-3)= equation: 


Simplifying
(A + b + c)(a + b + -3) = 0

Reorder the terms:
(A + b + c)(-3 + a + b) = 0

Multiply (A + b + c) * (-3 + a + b)
(A(-3 + a + b) + b(-3 + a + b) + c(-3 + a + b)) = 0
((-3 * A + a * A + b * A) + b(-3 + a + b) + c(-3 + a + b)) = 0
((-3A + aA + bA) + b(-3 + a + b) + c(-3 + a + b)) = 0
(-3A + aA + bA + (-3 * b + a * b + b * b) + c(-3 + a + b)) = 0

Reorder the terms:
(-3A + aA + bA + (ab + -3b + b2) + c(-3 + a + b)) = 0
(-3A + aA + bA + (ab + -3b + b2) + c(-3 + a + b)) = 0
(-3A + aA + bA + ab + -3b + b2 + (-3 * c + a * c + b * c)) = 0

Reorder the terms:
(-3A + aA + bA + ab + -3b + b2 + (ac + bc + -3c)) = 0
(-3A + aA + bA + ab + -3b + b2 + (ac + bc + -3c)) = 0

Reorder the terms:
(-3A + aA + ab + ac + -3b + bA + bc + b2 + -3c) = 0
(-3A + aA + ab + ac + -3b + bA + bc + b2 + -3c) = 0

Solving
-3A + aA + ab + ac + -3b + bA + bc + b2 + -3c = 0

Solving for variable 'A'.

Move all terms containing A to the left, all other terms to the right.

Add '-1ab' to each side of the equation.
-3A + aA + ab + ac + -3b + bA + bc + b2 + -1ab + -3c = 0 + -1ab

Reorder the terms:
-3A + aA + ab + -1ab + ac + -3b + bA + bc + b2 + -3c = 0 + -1ab

Combine like terms: ab + -1ab = 0
-3A + aA + 0 + ac + -3b + bA + bc + b2 + -3c = 0 + -1ab
-3A + aA + ac + -3b + bA + bc + b2 + -3c = 0 + -1ab
Remove the zero:
-3A + aA + ac + -3b + bA + bc + b2 + -3c = -1ab

Add '-1ac' to each side of the equation.
-3A + aA + ac + -3b + bA + bc + b2 + -1ac + -3c = -1ab + -1ac

Reorder the terms:
-3A + aA + ac + -1ac + -3b + bA + bc + b2 + -3c = -1ab + -1ac

Combine like terms: ac + -1ac = 0
-3A + aA + 0 + -3b + bA + bc + b2 + -3c = -1ab + -1ac
-3A + aA + -3b + bA + bc + b2 + -3c = -1ab + -1ac

Add '3b' to each side of the equation.
-3A + aA + -3b + bA + bc + b2 + 3b + -3c = -1ab + -1ac + 3b

Reorder the terms:
-3A + aA + -3b + 3b + bA + bc + b2 + -3c = -1ab + -1ac + 3b

Combine like terms: -3b + 3b = 0
-3A + aA + 0 + bA + bc + b2 + -3c = -1ab + -1ac + 3b
-3A + aA + bA + bc + b2 + -3c = -1ab + -1ac + 3b

Add '-1bc' to each side of the equation.
-3A + aA + bA + bc + b2 + -1bc + -3c = -1ab + -1ac + 3b + -1bc

Reorder the terms:
-3A + aA + bA + bc + -1bc + b2 + -3c = -1ab + -1ac + 3b + -1bc

Combine like terms: bc + -1bc = 0
-3A + aA + bA + 0 + b2 + -3c = -1ab + -1ac + 3b + -1bc
-3A + aA + bA + b2 + -3c = -1ab + -1ac + 3b + -1bc

Add '-1b2' to each side of the equation.
-3A + aA + bA + b2 + -1b2 + -3c = -1ab + -1ac + 3b + -1bc + -1b2

Combine like terms: b2 + -1b2 = 0
-3A + aA + bA + 0 + -3c = -1ab + -1ac + 3b + -1bc + -1b2
-3A + aA + bA + -3c = -1ab + -1ac + 3b + -1bc + -1b2

Add '3c' to each side of the equation.
-3A + aA + bA + -3c + 3c = -1ab + -1ac + 3b + -1bc + -1b2 + 3c

Combine like terms: -3c + 3c = 0
-3A + aA + bA + 0 = -1ab + -1ac + 3b + -1bc + -1b2 + 3c
-3A + aA + bA = -1ab + -1ac + 3b + -1bc + -1b2 + 3c

Reorder the terms:
-3A + aA + ab + ac + -3b + bA + bc + b2 + -3c = -1ab + -1ac + 3b + -1bc + -1b2 + 3c + ab + ac + -3b + bc + b2 + -3c

Reorder the terms:
-3A + aA + ab + ac + -3b + bA + bc + b2 + -3c = -1ab + ab + -1ac + ac + 3b + -3b + -1bc + bc + -1b2 + b2 + 3c + -3c

Combine like terms: -1ab + ab = 0
-3A + aA + ab + ac + -3b + bA + bc + b2 + -3c = 0 + -1ac + ac + 3b + -3b + -1bc + bc + -1b2 + b2 + 3c + -3c
-3A + aA + ab + ac + -3b + bA + bc + b2 + -3c = -1ac + ac + 3b + -3b + -1bc + bc + -1b2 + b2 + 3c + -3c

Combine like terms: -1ac + ac = 0
-3A + aA + ab + ac + -3b + bA + bc + b2 + -3c = 0 + 3b + -3b + -1bc + bc + -1b2 + b2 + 3c + -3c
-3A + aA + ab + ac + -3b + bA + bc + b2 + -3c = 3b + -3b + -1bc + bc + -1b2 + b2 + 3c + -3c

Combine like terms: 3b + -3b = 0
-3A + aA + ab + ac + -3b + bA + bc + b2 + -3c = 0 + -1bc + bc + -1b2 + b2 + 3c + -3c
-3A + aA + ab + ac + -3b + bA + bc + b2 + -3c = -1bc + bc + -1b2 + b2 + 3c + -3c

Combine like terms: -1bc + bc = 0
-3A + aA + ab + ac + -3b + bA + bc + b2 + -3c = 0 + -1b2 + b2 + 3c + -3c
-3A + aA + ab + ac + -3b + bA + bc + b2 + -3c = -1b2 + b2 + 3c + -3c

Combine like terms: -1b2 + b2 = 0
-3A + aA + ab + ac + -3b + bA + bc + b2 + -3c = 0 + 3c + -3c
-3A + aA + ab + ac + -3b + bA + bc + b2 + -3c = 3c + -3c

Combine like terms: 3c + -3c = 0
-3A + aA + ab + ac + -3b + bA + bc + b2 + -3c = 0

The solution to this equation could not be determined.

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