6(3a+b)(3a-b)=

Solution for 6(3a+b)(3a-b)= equation:

Simplifying
6(3a + b)(3a + -1b) = 0

Multiply (3a + b) * (3a + -1b)
6(3a * (3a + -1b) + b(3a + -1b)) = 0
6((3a * 3a + -1b * 3a) + b(3a + -1b)) = 0

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

Reorder the terms:
6(-3ab + 3ab + 9a2 + -1b2) = 0

Combine like terms: -3ab + 3ab = 0
6(0 + 9a2 + -1b2) = 0
6(9a2 + -1b2) = 0
(9a2 * 6 + -1b2 * 6) = 0
(54a2 + -6b2) = 0

Solving
54a2 + -6b2 = 0

Solving for variable 'a'.

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

Add '6b2' to each side of the equation.
54a2 + -6b2 + 6b2 = 0 + 6b2

Combine like terms: -6b2 + 6b2 = 0
54a2 + 0 = 0 + 6b2
54a2 = 0 + 6b2
Remove the zero:
54a2 = 6b2

Divide each side by '54'.
a2 = 0.1111111111b2

Simplifying
a2 = 0.1111111111b2

Take the square root of each side:
a = {-0.333333333b, 0.333333333b}