(p-4r)(p-4r)=

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

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

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

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

Reorder the terms:
(-4pr + -4pr + p2 + 16r2) = 0

Combine like terms: -4pr + -4pr = -8pr
(-8pr + p2 + 16r2) = 0

Solving
-8pr + p2 + 16r2 = 0

Solving for variable 'p'.

Factor a trinomial.
(p + -4r)(p + -4r) = 0

Subproblem 1
Set the factor '(p + -4r)' equal to zero and attempt to solve:

Simplifying
p + -4r = 0

Solving
p + -4r = 0

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

Add '4r' to each side of the equation.
p + -4r + 4r = 0 + 4r

Combine like terms: -4r + 4r = 0
p + 0 = 0 + 4r
p = 0 + 4r
Remove the zero:
p = 4r

Simplifying
p = 4r
Subproblem 2
Set the factor '(p + -4r)' equal to zero and attempt to solve:

Simplifying
p + -4r = 0

Solving
p + -4r = 0

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

Add '4r' to each side of the equation.
p + -4r + 4r = 0 + 4r

Combine like terms: -4r + 4r = 0
p + 0 = 0 + 4r
p = 0 + 4r
Remove the zero:
p = 4r

Simplifying
p = 4r
Solution
p = {4r, 4r}