6v^2-5v-25=9

Solution for 6v^2-5v-25=9 equation:

6v^2-5v-25=9

We move all terms to the left:

6v^2-5v-25-(9)=0

We add all the numbers together, and all the variables

6v^2-5v-34=0

a = 6; b = -5; c = -34;
Δ = b2-4ac
Δ = -52-4·6·(-34)
Δ = 841
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{841}=29$
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-5)-29}{2*6}=\frac{-24}{12}
=-2
$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+29}{2*6}=\frac{34}{12}
=2+5/6
$