(6a-p)(6a+p)=

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

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

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

Reorder the terms:
((6ap + 36a2) + -1p * (6a + p)) = 0
((6ap + 36a2) + -1p * (6a + p)) = 0
(6ap + 36a2 + (6a * -1p + p * -1p)) = 0
(6ap + 36a2 + (-6ap + -1p2)) = 0

Reorder the terms:
(6ap + -6ap + 36a2 + -1p2) = 0

Combine like terms: 6ap + -6ap = 0
(0 + 36a2 + -1p2) = 0
(36a2 + -1p2) = 0

Solving
36a2 + -1p2 = 0

Solving for variable 'a'.

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

Add 'p2' to each side of the equation.
36a2 + -1p2 + p2 = 0 + p2

Combine like terms: -1p2 + p2 = 0
36a2 + 0 = 0 + p2
36a2 = 0 + p2
Remove the zero:
36a2 = p2

Divide each side by '36'.
a2 = 0.02777777778p2

Simplifying
a2 = 0.02777777778p2

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