(3a^2+2b+4)-(a^2+b-1)-(A^2+2b-1)-(a^2+b-2)=

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Solution for (3a^2+2b+4)-(a^2+b-1)-(A^2+2b-1)-(a^2+b-2)= equation: 


Simplifying
(3a2 + 2b + 4) + -1(a2 + b + -1) + -1(A2 + 2b + -1) + -1(a2 + b + -2) = 0

Reorder the terms:
(4 + 3a2 + 2b) + -1(a2 + b + -1) + -1(A2 + 2b + -1) + -1(a2 + b + -2) = 0

Remove parenthesis around (4 + 3a2 + 2b)
4 + 3a2 + 2b + -1(a2 + b + -1) + -1(A2 + 2b + -1) + -1(a2 + b + -2) = 0

Reorder the terms:
4 + 3a2 + 2b + -1(-1 + a2 + b) + -1(A2 + 2b + -1) + -1(a2 + b + -2) = 0
4 + 3a2 + 2b + (-1 * -1 + a2 * -1 + b * -1) + -1(A2 + 2b + -1) + -1(a2 + b + -2) = 0
4 + 3a2 + 2b + (1 + -1a2 + -1b) + -1(A2 + 2b + -1) + -1(a2 + b + -2) = 0

Reorder the terms:
4 + 3a2 + 2b + 1 + -1a2 + -1b + -1(-1 + A2 + 2b) + -1(a2 + b + -2) = 0
4 + 3a2 + 2b + 1 + -1a2 + -1b + (-1 * -1 + A2 * -1 + 2b * -1) + -1(a2 + b + -2) = 0
4 + 3a2 + 2b + 1 + -1a2 + -1b + (1 + -1A2 + -2b) + -1(a2 + b + -2) = 0

Reorder the terms:
4 + 3a2 + 2b + 1 + -1a2 + -1b + 1 + -1A2 + -2b + -1(-2 + a2 + b) = 0
4 + 3a2 + 2b + 1 + -1a2 + -1b + 1 + -1A2 + -2b + (-2 * -1 + a2 * -1 + b * -1) = 0
4 + 3a2 + 2b + 1 + -1a2 + -1b + 1 + -1A2 + -2b + (2 + -1a2 + -1b) = 0

Reorder the terms:
4 + 1 + 1 + 2 + -1A2 + 3a2 + -1a2 + -1a2 + 2b + -1b + -2b + -1b = 0

Combine like terms: 4 + 1 = 5
5 + 1 + 2 + -1A2 + 3a2 + -1a2 + -1a2 + 2b + -1b + -2b + -1b = 0

Combine like terms: 5 + 1 = 6
6 + 2 + -1A2 + 3a2 + -1a2 + -1a2 + 2b + -1b + -2b + -1b = 0

Combine like terms: 6 + 2 = 8
8 + -1A2 + 3a2 + -1a2 + -1a2 + 2b + -1b + -2b + -1b = 0

Combine like terms: 3a2 + -1a2 = 2a2
8 + -1A2 + 2a2 + -1a2 + 2b + -1b + -2b + -1b = 0

Combine like terms: 2a2 + -1a2 = 1a2
8 + -1A2 + 1a2 + 2b + -1b + -2b + -1b = 0

Combine like terms: 2b + -1b = 1b
8 + -1A2 + 1a2 + 1b + -2b + -1b = 0

Combine like terms: 1b + -2b = -1b
8 + -1A2 + 1a2 + -1b + -1b = 0

Combine like terms: -1b + -1b = -2b
8 + -1A2 + 1a2 + -2b = 0

Solving
8 + -1A2 + 1a2 + -2b = 0

Solving for variable 'A'.

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

Add '-8' to each side of the equation.
8 + -1A2 + 1a2 + -8 + -2b = 0 + -8

Reorder the terms:
8 + -8 + -1A2 + 1a2 + -2b = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1A2 + 1a2 + -2b = 0 + -8
-1A2 + 1a2 + -2b = 0 + -8

Combine like terms: 0 + -8 = -8
-1A2 + 1a2 + -2b = -8

Add '-1a2' to each side of the equation.
-1A2 + 1a2 + -1a2 + -2b = -8 + -1a2

Combine like terms: 1a2 + -1a2 = 0
-1A2 + 0 + -2b = -8 + -1a2
-1A2 + -2b = -8 + -1a2

Add '2b' to each side of the equation.
-1A2 + -2b + 2b = -8 + -1a2 + 2b

Combine like terms: -2b + 2b = 0
-1A2 + 0 = -8 + -1a2 + 2b
-1A2 = -8 + -1a2 + 2b

Divide each side by '-1'.
A2 = 8 + a2 + -2b

Simplifying
A2 = 8 + a2 + -2b

Reorder the terms:
-8 + A2 + -1a2 + 2b = 8 + a2 + -2b + -8 + -1a2 + 2b

Reorder the terms:
-8 + A2 + -1a2 + 2b = 8 + -8 + a2 + -1a2 + -2b + 2b

Combine like terms: 8 + -8 = 0
-8 + A2 + -1a2 + 2b = 0 + a2 + -1a2 + -2b + 2b
-8 + A2 + -1a2 + 2b = a2 + -1a2 + -2b + 2b

Combine like terms: a2 + -1a2 = 0
-8 + A2 + -1a2 + 2b = 0 + -2b + 2b
-8 + A2 + -1a2 + 2b = -2b + 2b

Combine like terms: -2b + 2b = 0
-8 + A2 + -1a2 + 2b = 0

The solution to this equation could not be determined.

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