0=-2x^2+18x-16

Solution for 0=-2x^2+18x-16 equation:

0=-2x^2+18x-16

We move all terms to the left:

0-(-2x^2+18x-16)=0

We add all the numbers together, and all the variables

-(-2x^2+18x-16)=0

We get rid of parentheses

2x^2-18x+16=0

a = 2; b = -18; c = +16;
Δ = b2-4ac
Δ = -182-4·2·16
Δ = 196
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{196}=14$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-18)-14}{2*2}=\frac{4}{4}
=1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-18)+14}{2*2}=\frac{32}{4}
=8
$