56=7/8*v

Solution for 56=7/8*v equation:

56=7/8*v

We move all terms to the left:

56-(7/8*v)=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)+56=0

We get rid of parentheses

-7/8*v+56=0

We multiply all the terms by the denominator


56*8*v-7=0

Wy multiply elements

448v*v-7=0

Wy multiply elements

448v^2-7=0

a = 448; b = 0; c = -7;
Δ = b2-4ac
Δ = 02-4·448·(-7)
Δ = 12544
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{12544}=112$
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-112}{2*448}=\frac{-112}{896}
=-1/8
$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+112}{2*448}=\frac{112}{896}
=1/8
$