2(v-1)(-v+6)=0

Solution for 2(v-1)(-v+6)=0 equation:

2(v-1)(-v+6)=0

We add all the numbers together, and all the variables

2(v-1)(-1v+6)=0

We multiply parentheses ..

2(-1v^2+6v+v-6)=0

We multiply parentheses

-2v^2+12v+2v-12=0

We add all the numbers together, and all the variables

-2v^2+14v-12=0

a = -2; b = 14; c = -12;
Δ = b2-4ac
Δ = 142-4·(-2)·(-12)
Δ = 100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{100}=10$
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(14)-10}{2*-2}=\frac{-24}{-4}
=+6
$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(14)+10}{2*-2}=\frac{-4}{-4}
=1
$