-4v=-(8/9)

Solution for -4v=-(8/9) equation:

-4v=-(8/9)

We move all terms to the left:

-4v-(-(8/9))=0

We add all the numbers together, and all the variables

-4v-(-(+8/9))=0

We multiply all the terms by the denominator


-4v*9))-(-(+8=0

Wy multiply elements

-36v^2+8=0

a = -36; b = 0; c = +8;
Δ = b2-4ac
Δ = 02-4·(-36)·8
Δ = 1152
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{1152}=\sqrt{576*2}=\sqrt{576}*\sqrt{2}=24\sqrt{2}$
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-24\sqrt{2}}{2*-36}=\frac{0-24\sqrt{2}}{-72}
=-\frac{24\sqrt{2}}{-72}
=-\frac{\sqrt{2}}{-3}
$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+24\sqrt{2}}{2*-36}=\frac{0+24\sqrt{2}}{-72}
=\frac{24\sqrt{2}}{-72}
=\frac{\sqrt{2}}{-3}
$