v=4/33.14117.649

Solution for v=4/33.14117.649 equation:

v=4/33.14117.649

We move all terms to the left:

v-(4/33.14117.649)=0

We add all the numbers together, and all the variables

v-(+4/33.14117.649)=0

We get rid of parentheses

v-4/33.14117.649=0

We multiply all the terms by the denominator


v*33.14117.649-4=0

Wy multiply elements

33v^2-4=0

a = 33; b = 0; c = -4;
Δ = b2-4ac
Δ = 02-4·33·(-4)
Δ = 528
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:

$\sqrt{\Delta}=\sqrt{528}=\sqrt{16*33}=\sqrt{16}*\sqrt{33}=4\sqrt{33}$
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{33}}{2*33}=\frac{0-4\sqrt{33}}{66}
=-\frac{4\sqrt{33}}{66}
=-\frac{2\sqrt{33}}{33}
$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{33}}{2*33}=\frac{0+4\sqrt{33}}{66}
=\frac{4\sqrt{33}}{66}
=\frac{2\sqrt{33}}{33}
$