A(x)=P(.77)x

Solution for A(x)=P(.77)x equation:

Simplifying
A(x) = P(0.77) * x

Multiply A * x
xA = P(0.77) * x

Reorder the terms for easier multiplication:
xA = 0.77P * x

Multiply P * x
xA = 0.77xP

Solving
xA = 0.77xP

Solving for variable 'x'.

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

Add '-0.77xP' to each side of the equation.
xA + -0.77xP = 0.77xP + -0.77xP

Combine like terms: 0.77xP + -0.77xP = 0.00
xA + -0.77xP = 0.00

Factor out the Greatest Common Factor (GCF), 'x'.
x(A + -0.77P) = 0.00

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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(A + -0.77P)' equal to zero and attempt to solve:

Simplifying
A + -0.77P = 0

Solving
A + -0.77P = 0

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

Add '-1A' to each side of the equation.
A + -1A + -0.77P = 0 + -1A

Combine like terms: A + -1A = 0
0 + -0.77P = 0 + -1A
-0.77P = 0 + -1A
Remove the zero:
-0.77P = -1A

Add '0.77P' to each side of the equation.
-0.77P + 0.77P = -1A + 0.77P

Combine like terms: -0.77P + 0.77P = 0.00
0.00 = -1A + 0.77P

Simplifying
0.00 = -1A + 0.77P

The solution to this equation could not be determined.

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