F(x)=-0.06x(x-75)

Solution for F(x)=-0.06x(x-75) equation:

(F)=-0.06F(F-75)

We move all terms to the left:

(F)-(-0.06F(F-75))=0


We calculate terms in parentheses: -(-0.06F(F-75)), so:

-0.06F(F-75)

We multiply parentheses

-0F^2-0F

We add all the numbers together, and all the variables

-1F^2-1F

Back to the equation:

-(-1F^2-1F)


We get rid of parentheses

1F^2+1F+F=0

We add all the numbers together, and all the variables

F^2+2F=0

a = 1; b = 2; c = 0;
Δ = b2-4ac
Δ = 22-4·1·0
Δ = 4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$F_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$F_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4}=2$
$F_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-2}{2*1}=\frac{-4}{2}
=-2
$
$F_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+2}{2*1}=\frac{0}{2}
=0
$