2(v-7)(-v-2)=0

Solution for 2(v-7)(-v-2)=0 equation:

2(v-7)(-v-2)=0

We add all the numbers together, and all the variables

2(v-7)(-1v-2)=0

We multiply parentheses ..

2(-1v^2-2v+7v+14)=0

We multiply parentheses

-2v^2-4v+14v+28=0

We add all the numbers together, and all the variables

-2v^2+10v+28=0

a = -2; b = 10; c = +28;
Δ = b2-4ac
Δ = 102-4·(-2)·28
Δ = 324
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{324}=18$
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(10)-18}{2*-2}=\frac{-28}{-4}
=+7
$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10)+18}{2*-2}=\frac{8}{-4}
=-2
$