-5+9=17x2-16x

Solution for -5+9=17x2-16x equation:

-5+9=17x^2-16x

We move all terms to the left:

-5+9-(17x^2-16x)=0

We add all the numbers together, and all the variables

-(17x^2-16x)+4=0

We get rid of parentheses

-17x^2+16x+4=0

a = -17; b = 16; c = +4;
Δ = b2-4ac
Δ = 162-4·(-17)·4
Δ = 528
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{528}=\sqrt{16*33}=\sqrt{16}*\sqrt{33}=4\sqrt{33}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(16)-4\sqrt{33}}{2*-17}=\frac{-16-4\sqrt{33}}{-34}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(16)+4\sqrt{33}}{2*-17}=\frac{-16+4\sqrt{33}}{-34}
$