(x+2)2+(x+3)2+(3a+2b)(3a+2b)+(2a+3b)(2a-3b)=

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Solution for (x+2)2+(x+3)2+(3a+2b)(3a+2b)+(2a+3b)(2a-3b)= equation: 


Simplifying
(x + 2) * 2 + (x + 3) * 2 + (3a + 2b)(3a + 2b) + (2a + 3b)(2a + -3b) = 0

Reorder the terms:
(2 + x) * 2 + (x + 3) * 2 + (3a + 2b)(3a + 2b) + (2a + 3b)(2a + -3b) = 0

Reorder the terms for easier multiplication:
2(2 + x) + (x + 3) * 2 + (3a + 2b)(3a + 2b) + (2a + 3b)(2a + -3b) = 0
(2 * 2 + x * 2) + (x + 3) * 2 + (3a + 2b)(3a + 2b) + (2a + 3b)(2a + -3b) = 0
(4 + 2x) + (x + 3) * 2 + (3a + 2b)(3a + 2b) + (2a + 3b)(2a + -3b) = 0

Reorder the terms:
4 + 2x + (3 + x) * 2 + (3a + 2b)(3a + 2b) + (2a + 3b)(2a + -3b) = 0

Reorder the terms for easier multiplication:
4 + 2x + 2(3 + x) + (3a + 2b)(3a + 2b) + (2a + 3b)(2a + -3b) = 0
4 + 2x + (3 * 2 + x * 2) + (3a + 2b)(3a + 2b) + (2a + 3b)(2a + -3b) = 0
4 + 2x + (6 + 2x) + (3a + 2b)(3a + 2b) + (2a + 3b)(2a + -3b) = 0

Multiply (3a + 2b) * (3a + 2b)
4 + 2x + 6 + 2x + (3a * (3a + 2b) + 2b * (3a + 2b)) + (2a + 3b)(2a + -3b) = 0
4 + 2x + 6 + 2x + ((3a * 3a + 2b * 3a) + 2b * (3a + 2b)) + (2a + 3b)(2a + -3b) = 0

Reorder the terms:
4 + 2x + 6 + 2x + ((6ab + 9a2) + 2b * (3a + 2b)) + (2a + 3b)(2a + -3b) = 0
4 + 2x + 6 + 2x + ((6ab + 9a2) + 2b * (3a + 2b)) + (2a + 3b)(2a + -3b) = 0
4 + 2x + 6 + 2x + (6ab + 9a2 + (3a * 2b + 2b * 2b)) + (2a + 3b)(2a + -3b) = 0
4 + 2x + 6 + 2x + (6ab + 9a2 + (6ab + 4b2)) + (2a + 3b)(2a + -3b) = 0

Reorder the terms:
4 + 2x + 6 + 2x + (6ab + 6ab + 9a2 + 4b2) + (2a + 3b)(2a + -3b) = 0

Combine like terms: 6ab + 6ab = 12ab
4 + 2x + 6 + 2x + (12ab + 9a2 + 4b2) + (2a + 3b)(2a + -3b) = 0

Multiply (2a + 3b) * (2a + -3b)
4 + 2x + 6 + 2x + 12ab + 9a2 + 4b2 + (2a * (2a + -3b) + 3b * (2a + -3b)) = 0
4 + 2x + 6 + 2x + 12ab + 9a2 + 4b2 + ((2a * 2a + -3b * 2a) + 3b * (2a + -3b)) = 0

Reorder the terms:
4 + 2x + 6 + 2x + 12ab + 9a2 + 4b2 + ((-6ab + 4a2) + 3b * (2a + -3b)) = 0
4 + 2x + 6 + 2x + 12ab + 9a2 + 4b2 + ((-6ab + 4a2) + 3b * (2a + -3b)) = 0
4 + 2x + 6 + 2x + 12ab + 9a2 + 4b2 + (-6ab + 4a2 + (2a * 3b + -3b * 3b)) = 0
4 + 2x + 6 + 2x + 12ab + 9a2 + 4b2 + (-6ab + 4a2 + (6ab + -9b2)) = 0

Reorder the terms:
4 + 2x + 6 + 2x + 12ab + 9a2 + 4b2 + (-6ab + 6ab + 4a2 + -9b2) = 0

Combine like terms: -6ab + 6ab = 0
4 + 2x + 6 + 2x + 12ab + 9a2 + 4b2 + (0 + 4a2 + -9b2) = 0
4 + 2x + 6 + 2x + 12ab + 9a2 + 4b2 + (4a2 + -9b2) = 0

Reorder the terms:
4 + 6 + 12ab + 9a2 + 4a2 + 4b2 + -9b2 + 2x + 2x = 0

Combine like terms: 4 + 6 = 10
10 + 12ab + 9a2 + 4a2 + 4b2 + -9b2 + 2x + 2x = 0

Combine like terms: 9a2 + 4a2 = 13a2
10 + 12ab + 13a2 + 4b2 + -9b2 + 2x + 2x = 0

Combine like terms: 4b2 + -9b2 = -5b2
10 + 12ab + 13a2 + -5b2 + 2x + 2x = 0

Combine like terms: 2x + 2x = 4x
10 + 12ab + 13a2 + -5b2 + 4x = 0

Solving
10 + 12ab + 13a2 + -5b2 + 4x = 0

Solving for variable 'a'.

The solution to this equation could not be determined.

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