(12A^2B+A-5A^2B+2AB)-(4AB^2+6AB-2A-3AB)=

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Solution for (12A^2B+A-5A^2B+2AB)-(4AB^2+6AB-2A-3AB)= equation: 


Simplifying
(12A2B + A + -5A2B + 2AB) + -1(4AB2 + 6AB + -2A + -3AB) = 0

Reorder the terms:
(A + 2AB + 12A2B + -5A2B) + -1(4AB2 + 6AB + -2A + -3AB) = 0

Combine like terms: 12A2B + -5A2B = 7A2B
(A + 2AB + 7A2B) + -1(4AB2 + 6AB + -2A + -3AB) = 0

Remove parenthesis around (A + 2AB + 7A2B)
A + 2AB + 7A2B + -1(4AB2 + 6AB + -2A + -3AB) = 0

Reorder the terms:
A + 2AB + 7A2B + -1(-2A + 6AB + -3AB + 4AB2) = 0

Combine like terms: 6AB + -3AB = 3AB
A + 2AB + 7A2B + -1(-2A + 3AB + 4AB2) = 0
A + 2AB + 7A2B + (-2A * -1 + 3AB * -1 + 4AB2 * -1) = 0
A + 2AB + 7A2B + (2A + -3AB + -4AB2) = 0

Reorder the terms:
A + 2A + 2AB + -3AB + -4AB2 + 7A2B = 0

Combine like terms: A + 2A = 3A
3A + 2AB + -3AB + -4AB2 + 7A2B = 0

Combine like terms: 2AB + -3AB = -1AB
3A + -1AB + -4AB2 + 7A2B = 0

Solving
3A + -1AB + -4AB2 + 7A2B = 0

Solving for variable 'A'.

Factor out the Greatest Common Factor (GCF), 'A'.
A(3 + -1B + -4B2 + 7AB) = 0


Subproblem 1
Set the factor 'A' equal to zero and attempt to solve:

Simplifying
A = 0

Solving
A = 0

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

Simplifying
A = 0

Subproblem 2
Set the factor '(3 + -1B + -4B2 + 7AB)' equal to zero and attempt to solve:

Simplifying
3 + -1B + -4B2 + 7AB = 0

Reorder the terms:
3 + 7AB + -1B + -4B2 = 0

Solving
3 + 7AB + -1B + -4B2 = 0

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

Add '-3' to each side of the equation.
3 + 7AB + -1B + -3 + -4B2 = 0 + -3

Reorder the terms:
3 + -3 + 7AB + -1B + -4B2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 7AB + -1B + -4B2 = 0 + -3
7AB + -1B + -4B2 = 0 + -3

Combine like terms: 0 + -3 = -3
7AB + -1B + -4B2 = -3

Add 'B' to each side of the equation.
7AB + -1B + B + -4B2 = -3 + B

Combine like terms: -1B + B = 0
7AB + 0 + -4B2 = -3 + B
7AB + -4B2 = -3 + B

Add '4B2' to each side of the equation.
7AB + -4B2 + 4B2 = -3 + B + 4B2

Combine like terms: -4B2 + 4B2 = 0
7AB + 0 = -3 + B + 4B2
7AB = -3 + B + 4B2

Divide each side by '7B'.
A = -0.4285714286B-1 + 0.1428571429 + 0.5714285714B

Simplifying
A = -0.4285714286B-1 + 0.1428571429 + 0.5714285714B

Reorder the terms:
A = 0.1428571429 + -0.4285714286B-1 + 0.5714285714B
Solution
A = {0, 0.1428571429 + -0.4285714286B-1 + 0.5714285714B}

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