F(x)=x(x-14)

Solution for F(x)=x(x-14) equation:

(F)=F(F-14)

We move all terms to the left:

(F)-(F(F-14))=0


We calculate terms in parentheses: -(F(F-14)), so:

F(F-14)

We multiply parentheses

F^2-14F

Back to the equation:

-(F^2-14F)


We get rid of parentheses

-F^2+F+14F=0

We add all the numbers together, and all the variables

-1F^2+15F=0

a = -1; b = 15; c = 0;
Δ = b2-4ac
Δ = 152-4·(-1)·0
Δ = 225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$F_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$F_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{225}=15$
$F_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(15)-15}{2*-1}=\frac{-30}{-2}
=+15
$
$F_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(15)+15}{2*-1}=\frac{0}{-2}
=0
$