(7A+3B)(7A+2B)=

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Solution for (7A+3B)(7A+2B)= equation: 


Simplifying
(7A + 3B)(7A + 2B) = 0

Multiply (7A + 3B) * (7A + 2B)
(7A * (7A + 2B) + 3B * (7A + 2B)) = 0
((7A * 7A + 2B * 7A) + 3B * (7A + 2B)) = 0

Reorder the terms:
((14AB + 49A2) + 3B * (7A + 2B)) = 0
((14AB + 49A2) + 3B * (7A + 2B)) = 0
(14AB + 49A2 + (7A * 3B + 2B * 3B)) = 0
(14AB + 49A2 + (21AB + 6B2)) = 0

Reorder the terms:
(14AB + 21AB + 49A2 + 6B2) = 0

Combine like terms: 14AB + 21AB = 35AB
(35AB + 49A2 + 6B2) = 0

Solving
35AB + 49A2 + 6B2 = 0

Solving for variable 'A'.

Factor a trinomial.
(7A + 2B)(7A + 3B) = 0


Subproblem 1
Set the factor '(7A + 2B)' equal to zero and attempt to solve:

Simplifying
7A + 2B = 0

Solving
7A + 2B = 0

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

Add '-2B' to each side of the equation.
7A + 2B + -2B = 0 + -2B

Combine like terms: 2B + -2B = 0
7A + 0 = 0 + -2B
7A = 0 + -2B
Remove the zero:
7A = -2B

Divide each side by '7'.
A = -0.2857142857B

Simplifying
A = -0.2857142857B

Subproblem 2
Set the factor '(7A + 3B)' equal to zero and attempt to solve:

Simplifying
7A + 3B = 0

Solving
7A + 3B = 0

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

Add '-3B' to each side of the equation.
7A + 3B + -3B = 0 + -3B

Combine like terms: 3B + -3B = 0
7A + 0 = 0 + -3B
7A = 0 + -3B
Remove the zero:
7A = -3B

Divide each side by '7'.
A = -0.4285714286B

Simplifying
A = -0.4285714286B
Solution
A = {-0.2857142857B, -0.4285714286B}

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