-4v=-(12/7)

Solution for -4v=-(12/7) equation:

-4v=-(12/7)

We move all terms to the left:

-4v-(-(12/7))=0

We add all the numbers together, and all the variables

-4v-(-(+12/7))=0

We multiply all the terms by the denominator


-4v*7))-(-(+12=0

Wy multiply elements

-28v^2+12=0

a = -28; b = 0; c = +12;
Δ = b2-4ac
Δ = 02-4·(-28)·12
Δ = 1344
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:

$\sqrt{\Delta}=\sqrt{1344}=\sqrt{64*21}=\sqrt{64}*\sqrt{21}=8\sqrt{21}$
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8\sqrt{21}}{2*-28}=\frac{0-8\sqrt{21}}{-56}
=-\frac{8\sqrt{21}}{-56}
=-\frac{\sqrt{21}}{-7}
$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8\sqrt{21}}{2*-28}=\frac{0+8\sqrt{21}}{-56}
=\frac{8\sqrt{21}}{-56}
=\frac{\sqrt{21}}{-7}
$