16x(x+1)=165

Solution for 16x(x+1)=165 equation:

16x(x+1)=165

We move all terms to the left:

16x(x+1)-(165)=0

We multiply parentheses

16x^2+16x-165=0

a = 16; b = 16; c = -165;
Δ = b2-4ac
Δ = 162-4·16·(-165)
Δ = 10816
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{10816}=104$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(16)-104}{2*16}=\frac{-120}{32}
=-3+3/4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(16)+104}{2*16}=\frac{88}{32}
=2+3/4
$