(7-w)5w+4)=0

Solution for (7-w)5w+4)=0 equation:

(7-w)5w+4)=0

We add all the numbers together, and all the variables

(-1w+7)5w+4)=0

We add all the numbers together, and all the variables

(-1w+7)5w=0

We multiply parentheses

-5w^2+35w=0

a = -5; b = 35; c = 0;
Δ = b2-4ac
Δ = 352-4·(-5)·0
Δ = 1225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1225}=35$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(35)-35}{2*-5}=\frac{-70}{-10}
=+7
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(35)+35}{2*-5}=\frac{0}{-10}
=0
$