f(x)=2f(5)

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Solution for f(x)=2f(5) equation: 


Simplifying
f(x) = 2f(5)

Multiply f * x
fx = 2f(5)

Reorder the terms for easier multiplication:
fx = 2 * 5f

Multiply 2 * 5
fx = 10f

Solving
fx = 10f

Solving for variable 'f'.

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

Add '-10f' to each side of the equation.
-10f + fx = 10f + -10f

Combine like terms: 10f + -10f = 0
-10f + fx = 0

Factor out the Greatest Common Factor (GCF), 'f'.
f(-10 + x) = 0


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

Simplifying
f = 0

Solving
f = 0

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

Simplifying
f = 0

Subproblem 2
Set the factor '(-10 + x)' equal to zero and attempt to solve:

Simplifying
-10 + x = 0

Solving
-10 + x = 0

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

Add '10' to each side of the equation.
-10 + 10 + x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + x = 0 + 10
x = 0 + 10

Combine like terms: 0 + 10 = 10
x = 10

Add '-1x' to each side of the equation.
x + -1x = 10 + -1x

Combine like terms: x + -1x = 0
0 = 10 + -1x

Simplifying
0 = 10 + -1x

The solution to this equation could not be determined.

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

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