F(x)=-4x+3x

Solution for F(x)=-4x+3x equation:

Simplifying
F(x) = -4x + 3x

Multiply F * x
xF = -4x + 3x

Combine like terms: -4x + 3x = -1x
xF = -1x

Solving
xF = -1x

Solving for variable 'x'.

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

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

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

Factor out the Greatest Common Factor (GCF), 'x'.
x(1 + 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 '(1 + F)' equal to zero and attempt to solve:

Simplifying
1 + F = 0

Solving
1 + F = 0

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

Add '-1' to each side of the equation.
1 + -1 + F = 0 + -1

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

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

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

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

Simplifying
0 = -1 + -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}