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

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

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

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

Reorder the terms:
((6ab + 36a2) + -1b * (6a + b)) = 0
((6ab + 36a2) + -1b * (6a + b)) = 0
(6ab + 36a2 + (6a * -1b + b * -1b)) = 0
(6ab + 36a2 + (-6ab + -1b2)) = 0

Reorder the terms:
(6ab + -6ab + 36a2 + -1b2) = 0

Combine like terms: 6ab + -6ab = 0
(0 + 36a2 + -1b2) = 0
(36a2 + -1b2) = 0

Solving
36a2 + -1b2 = 0

Solving for variable 'a'.

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

Add 'b2' to each side of the equation.
36a2 + -1b2 + b2 = 0 + b2

Combine like terms: -1b2 + b2 = 0
36a2 + 0 = 0 + b2
36a2 = 0 + b2
Remove the zero:
36a2 = b2

Divide each side by '36'.
a2 = 0.02777777778b2

Simplifying
a2 = 0.02777777778b2

Take the square root of each side:
a = {-0.166666667b, 0.166666667b}