16x^2-167x=-385

Solution for 16x^2-167x=-385 equation:

16x^2-167x=-385

We move all terms to the left:

16x^2-167x-(-385)=0

We add all the numbers together, and all the variables

16x^2-167x+385=0

a = 16; b = -167; c = +385;
Δ = b2-4ac
Δ = -1672-4·16·385
Δ = 3249
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3249}=57$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-167)-57}{2*16}=\frac{110}{32}
=3+7/16
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-167)+57}{2*16}=\frac{224}{32}
=7
$