F(x)=(0.9)x

Solution for F(x)=(0.9)x equation:

Simplifying
F(x) = (0.9) * x

Multiply F * x
xF = (0.9) * x

Solving
xF = 0.9x

Solving for variable 'x'.

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

Add '-0.9x' to each side of the equation.
-0.9x + xF = 0.9x + -0.9x

Combine like terms: 0.9x + -0.9x = 0.0
-0.9x + xF = 0.0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-0.9 + F) = 0.0

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 '(-0.9 + F)' equal to zero and attempt to solve:

Simplifying
-0.9 + F = 0

Solving
-0.9 + F = 0

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

Add '0.9' to each side of the equation.
-0.9 + 0.9 + F = 0 + 0.9

Combine like terms: -0.9 + 0.9 = 0.0
0.0 + F = 0 + 0.9
F = 0 + 0.9

Combine like terms: 0 + 0.9 = 0.9
F = 0.9

Add '-1F' to each side of the equation.
F + -1F = 0.9 + -1F

Combine like terms: F + -1F = 0
0 = 0.9 + -1F

Simplifying
0 = 0.9 + -1F

The solution to this equation could not be determined.

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