(6p+9r)(6p-9r)=

Solution for (6p+9r)(6p-9r)= equation:

Simplifying
(6p + 9r)(6p + -9r) = 0

Multiply (6p + 9r) * (6p + -9r)
(6p * (6p + -9r) + 9r * (6p + -9r)) = 0
((6p * 6p + -9r * 6p) + 9r * (6p + -9r)) = 0

Reorder the terms:
((-54pr + 36p2) + 9r * (6p + -9r)) = 0
((-54pr + 36p2) + 9r * (6p + -9r)) = 0
(-54pr + 36p2 + (6p * 9r + -9r * 9r)) = 0
(-54pr + 36p2 + (54pr + -81r2)) = 0

Reorder the terms:
(-54pr + 54pr + 36p2 + -81r2) = 0

Combine like terms: -54pr + 54pr = 0
(0 + 36p2 + -81r2) = 0
(36p2 + -81r2) = 0

Solving
36p2 + -81r2 = 0

Solving for variable 'p'.

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

Add '81r2' to each side of the equation.
36p2 + -81r2 + 81r2 = 0 + 81r2

Combine like terms: -81r2 + 81r2 = 0
36p2 + 0 = 0 + 81r2
36p2 = 0 + 81r2
Remove the zero:
36p2 = 81r2

Divide each side by '36'.
p2 = 2.25r2

Simplifying
p2 = 2.25r2

Take the square root of each side:
p = {-1.5r, 1.5r}