(3a-2b)(3a+2b)-(9a^2+4b^2)=

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Solution for (3a-2b)(3a+2b)-(9a^2+4b^2)= equation: 


Simplifying
(3a + -2b)(3a + 2b) + -1(9a2 + 4b2) = 0

Multiply (3a + -2b) * (3a + 2b)
(3a * (3a + 2b) + -2b * (3a + 2b)) + -1(9a2 + 4b2) = 0
((3a * 3a + 2b * 3a) + -2b * (3a + 2b)) + -1(9a2 + 4b2) = 0

Reorder the terms:
((6ab + 9a2) + -2b * (3a + 2b)) + -1(9a2 + 4b2) = 0
((6ab + 9a2) + -2b * (3a + 2b)) + -1(9a2 + 4b2) = 0
(6ab + 9a2 + (3a * -2b + 2b * -2b)) + -1(9a2 + 4b2) = 0
(6ab + 9a2 + (-6ab + -4b2)) + -1(9a2 + 4b2) = 0

Reorder the terms:
(6ab + -6ab + 9a2 + -4b2) + -1(9a2 + 4b2) = 0

Combine like terms: 6ab + -6ab = 0
(0 + 9a2 + -4b2) + -1(9a2 + 4b2) = 0
(9a2 + -4b2) + -1(9a2 + 4b2) = 0
9a2 + -4b2 + (9a2 * -1 + 4b2 * -1) = 0
9a2 + -4b2 + (-9a2 + -4b2) = 0

Reorder the terms:
9a2 + -9a2 + -4b2 + -4b2 = 0

Combine like terms: 9a2 + -9a2 = 0
0 + -4b2 + -4b2 = 0
-4b2 + -4b2 = 0

Combine like terms: -4b2 + -4b2 = -8b2
-8b2 = 0

Solving
-8b2 = 0

Solving for variable 'b'.

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

Divide each side by '-8'.
b2 = 0

Simplifying
b2 = 0

Take the square root of each side:
b = {0}

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