(6p+q)(6p-q)=

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

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

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

Reorder the terms:
((-6pq + 36p2) + q(6p + -1q)) = 0
((-6pq + 36p2) + q(6p + -1q)) = 0
(-6pq + 36p2 + (6p * q + -1q * q)) = 0
(-6pq + 36p2 + (6pq + -1q2)) = 0

Reorder the terms:
(-6pq + 6pq + 36p2 + -1q2) = 0

Combine like terms: -6pq + 6pq = 0
(0 + 36p2 + -1q2) = 0
(36p2 + -1q2) = 0

Solving
36p2 + -1q2 = 0

Solving for variable 'p'.

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

Add 'q2' to each side of the equation.
36p2 + -1q2 + q2 = 0 + q2

Combine like terms: -1q2 + q2 = 0
36p2 + 0 = 0 + q2
36p2 = 0 + q2
Remove the zero:
36p2 = q2

Divide each side by '36'.
p2 = 0.02777777778q2

Simplifying
p2 = 0.02777777778q2

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