-9/4v+4/5v=7/8

Solution for -9/4v+4/5v=7/8 equation:

-9/4v+4/5v=7/8

We move all terms to the left:

-9/4v+4/5v-(7/8)=0


Domain of the equation: 4v!=0

v!=0/4

v!=0

v∈R



Domain of the equation: 5v!=0

v!=0/5

v!=0

v∈R


We add all the numbers together, and all the variables

-9/4v+4/5v-(+7/8)=0

We get rid of parentheses

-9/4v+4/5v-7/8=0

We calculate fractions


(-700v^2)/1280v^2+(-2880v)/1280v^2+1024v/1280v^2=0

We multiply all the terms by the denominator


(-700v^2)+(-2880v)+1024v=0

We add all the numbers together, and all the variables

(-700v^2)+1024v+(-2880v)=0

We get rid of parentheses

-700v^2+1024v-2880v=0

We add all the numbers together, and all the variables

-700v^2-1856v=0

a = -700; b = -1856; c = 0;
Δ = b2-4ac
Δ = -18562-4·(-700)·0
Δ = 3444736
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3444736}=1856$
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1856)-1856}{2*-700}=\frac{0}{-1400}
=0
$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1856)+1856}{2*-700}=\frac{3712}{-1400}
=-2+114/175
$