-(7/8)v=-48

Solution for -(7/8)v=-48 equation:

-(7/8)v=-48

We move all terms to the left:

-(7/8)v-(-48)=0


Domain of the equation: 8)v!=0

v!=0/1

v!=0

v∈R


We add all the numbers together, and all the variables

-(+7/8)v-(-48)=0

We add all the numbers together, and all the variables

-(+7/8)v+48=0

We multiply parentheses

-7v^2+48=0

a = -7; b = 0; c = +48;
Δ = b2-4ac
Δ = 02-4·(-7)·48
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*-7}=\frac{0-8\sqrt{21}}{-14}
=-\frac{8\sqrt{21}}{-14}
=-\frac{4\sqrt{21}}{-7}
$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8\sqrt{21}}{2*-7}=\frac{0+8\sqrt{21}}{-14}
=\frac{8\sqrt{21}}{-14}
=\frac{4\sqrt{21}}{-7}
$