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

Solution for 5(w-7)(-w-2)=0 equation:

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

We add all the numbers together, and all the variables

5(w-7)(-1w-2)=0

We multiply parentheses ..

5(-1w^2-2w+7w+14)=0

We multiply parentheses

-5w^2-10w+35w+70=0

We add all the numbers together, and all the variables

-5w^2+25w+70=0

a = -5; b = 25; c = +70;
Δ = b2-4ac
Δ = 252-4·(-5)·70
Δ = 2025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2025}=45$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(25)-45}{2*-5}=\frac{-70}{-10}
=+7
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(25)+45}{2*-5}=\frac{20}{-10}
=-2
$