F(x)=2x+5f(-3x)

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Solution for F(x)=2x+5f(-3x) equation: 


Simplifying
F(x) = 2x + 5f(-3x)

Multiply F * x
xF = 2x + 5f(-3x)

Remove parenthesis around (-3x)
xF = 2x + 5f * -3x

Reorder the terms for easier multiplication:
xF = 2x + 5 * -3f * x

Multiply 5 * -3
xF = 2x + -15f * x

Multiply f * x
xF = 2x + -15fx

Reorder the terms:
xF = -15fx + 2x

Solving
xF = -15fx + 2x

Solving for variable 'x'.

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

Add '15fx' to each side of the equation.
15fx + xF = -15fx + 15fx + 2x

Combine like terms: -15fx + 15fx = 0
15fx + xF = 0 + 2x
15fx + xF = 2x

Add '-2x' to each side of the equation.
15fx + -2x + xF = 2x + -2x

Combine like terms: 2x + -2x = 0
15fx + -2x + xF = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(15f + -2 + F) = 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 '(15f + -2 + F)' equal to zero and attempt to solve:

Simplifying
15f + -2 + F = 0

Reorder the terms:
-2 + F + 15f = 0

Solving
-2 + F + 15f = 0

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

Add '2' to each side of the equation.
-2 + F + 2 + 15f = 0 + 2

Reorder the terms:
-2 + 2 + F + 15f = 0 + 2

Combine like terms: -2 + 2 = 0
0 + F + 15f = 0 + 2
F + 15f = 0 + 2

Combine like terms: 0 + 2 = 2
F + 15f = 2

Add '-1F' to each side of the equation.
F + -1F + 15f = 2 + -1F

Combine like terms: F + -1F = 0
0 + 15f = 2 + -1F
15f = 2 + -1F

Add '-15f' to each side of the equation.
15f + -15f = 2 + -1F + -15f

Combine like terms: 15f + -15f = 0
0 = 2 + -1F + -15f

Simplifying
0 = 2 + -1F + -15f

The solution to this equation could not be determined.

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

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