-16x^2+78x-27=-27

Solution for -16x^2+78x-27=-27 equation:

-16x^2+78x-27=-27

We move all terms to the left:

-16x^2+78x-27-(-27)=0

We add all the numbers together, and all the variables

-16x^2+78x=0

a = -16; b = 78; c = 0;
Δ = b2-4ac
Δ = 782-4·(-16)·0
Δ = 6084
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{6084}=78$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(78)-78}{2*-16}=\frac{-156}{-32}
=4+7/8
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(78)+78}{2*-16}=\frac{0}{-32}
=0
$