F ( x ) = x - 4 - [ - 2,5 ]
Solve for F
F=\frac{x-1,5}{x}
x\neq 0
Solve for x
x=-\frac{3}{2\left(F-1\right)}
F\neq 1
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Fx=x-4+2,5
The opposite of -2,5 is 2,5.
Fx=x-1,5
Add -4 and 2,5 to get -1,5.
xF=x-\frac{3}{2}
The equation is in standard form.
\frac{xF}{x}=\frac{x-\frac{3}{2}}{x}
Divide both sides by x.
F=\frac{x-\frac{3}{2}}{x}
Dividing by x undoes the multiplication by x.
F=1-\frac{3}{2x}
Divide x-\frac{3}{2} by x.
Fx=x-4+2,5
The opposite of -2,5 is 2,5.
Fx=x-1,5
Add -4 and 2,5 to get -1,5.
Fx-x=-1,5
Subtract x from both sides.
\left(F-1\right)x=-1,5
Combine all terms containing x.
\frac{\left(F-1\right)x}{F-1}=-\frac{1,5}{F-1}
Divide both sides by F-1.
x=-\frac{1,5}{F-1}
Dividing by F-1 undoes the multiplication by F-1.
x=-\frac{3}{2\left(F-1\right)}
Divide -1,5 by F-1.
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