-16v^2/16=-81/16

Solution for -16v^2/16=-81/16 equation:

-16v^2/16=-81/16

We move all terms to the left:

-16v^2/16-(-81/16)=0

We get rid of parentheses

-16v^2/16+81/16=0

We multiply all the terms by the denominator


-16v^2+81=0

a = -16; b = 0; c = +81;
Δ = b2-4ac
Δ = 02-4·(-16)·81
Δ = 5184
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5184}=72$
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-72}{2*-16}=\frac{-72}{-32}
=2+1/4
$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+72}{2*-16}=\frac{72}{-32}
=-2+1/4
$