.65p=p(2-x)

Solution for .65p=p(2-x) equation:

Simplifying
0.65p = p(2 + -1x)
0.65p = (2 * p + -1x * p)
0.65p = (2p + -1px)

Solving
0.65p = 2p + -1px

Solving for variable 'p'.

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

Add '-2p' to each side of the equation.
0.65p + -2p = 2p + -2p + -1px

Combine like terms: 0.65p + -2p = -1.35p
-1.35p = 2p + -2p + -1px

Combine like terms: 2p + -2p = 0
-1.35p = 0 + -1px
-1.35p = -1px

Add 'px' to each side of the equation.
-1.35p + px = -1px + px

Combine like terms: -1px + px = 0
-1.35p + px = 0

Factor out the Greatest Common Factor (GCF), 'p'.
p(-1.35 + x) = 0

Subproblem 1
Set the factor 'p' equal to zero and attempt to solve:

Simplifying
p = 0

Solving
p = 0

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

Simplifying
p = 0
Subproblem 2
Set the factor '(-1.35 + x)' equal to zero and attempt to solve:

Simplifying
-1.35 + x = 0

Solving
-1.35 + x = 0

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

Add '1.35' to each side of the equation.
-1.35 + 1.35 + x = 0 + 1.35

Combine like terms: -1.35 + 1.35 = 0.00
0.00 + x = 0 + 1.35
x = 0 + 1.35

Combine like terms: 0 + 1.35 = 1.35
x = 1.35

Add '-1x' to each side of the equation.
x + -1x = 1.35 + -1x

Combine like terms: x + -1x = 0
0 = 1.35 + -1x

Simplifying
0 = 1.35 + -1x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
p = {0}