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

Solution for (1-w)(5w+7)=0 equation:

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

We add all the numbers together, and all the variables

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

We multiply parentheses ..

(-5w^2-7w+5w+7)=0

We get rid of parentheses

-5w^2-7w+5w+7=0

We add all the numbers together, and all the variables

-5w^2-2w+7=0

a = -5; b = -2; c = +7;
Δ = b2-4ac
Δ = -22-4·(-5)·7
Δ = 144
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{144}=12$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2)-12}{2*-5}=\frac{-10}{-10}
=1
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+12}{2*-5}=\frac{14}{-10}
=-1+2/5
$