F(x)=x-3x

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Solution for F(x)=x-3x equation: 


Simplifying
F(x) = x + -3x

Multiply F * x
xF = x + -3x

Combine like terms: x + -3x = -2x
xF = -2x

Solving
xF = -2x

Solving for variable 'x'.

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

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

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

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

Simplifying
2 + F = 0

Solving
2 + F = 0

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

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

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

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

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

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

Simplifying
0 = -2 + -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}

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