(4r-9p)(4r+9p)=

Solution for (4r-9p)(4r+9p)= equation:

Simplifying
(4r + -9p)(4r + 9p) = 0

Reorder the terms:
(-9p + 4r)(4r + 9p) = 0

Reorder the terms:
(-9p + 4r)(9p + 4r) = 0

Multiply (-9p + 4r) * (9p + 4r)
(-9p * (9p + 4r) + 4r * (9p + 4r)) = 0
((9p * -9p + 4r * -9p) + 4r * (9p + 4r)) = 0

Reorder the terms:
((-36pr + -81p2) + 4r * (9p + 4r)) = 0
((-36pr + -81p2) + 4r * (9p + 4r)) = 0
(-36pr + -81p2 + (9p * 4r + 4r * 4r)) = 0
(-36pr + -81p2 + (36pr + 16r2)) = 0

Reorder the terms:
(-36pr + 36pr + -81p2 + 16r2) = 0

Combine like terms: -36pr + 36pr = 0
(0 + -81p2 + 16r2) = 0
(-81p2 + 16r2) = 0

Solving
-81p2 + 16r2 = 0

Solving for variable 'p'.

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

Add '-16r2' to each side of the equation.
-81p2 + 16r2 + -16r2 = 0 + -16r2

Combine like terms: 16r2 + -16r2 = 0
-81p2 + 0 = 0 + -16r2
-81p2 = 0 + -16r2
Remove the zero:
-81p2 = -16r2

Divide each side by '-81'.
p2 = 0.1975308642r2

Simplifying
p2 = 0.1975308642r2

Take the square root of each side:
p = {-0.444444444r, 0.444444444r}