270=0.088x^2-1.028+35.790

Solution for 270=0.088x^2-1.028+35.790 equation:

270=0.088x^2-1.028+35.790

We move all terms to the left:

270-(0.088x^2-1.028+35.790)=0

We get rid of parentheses

-0.088x^2+1.028-35.790+270=0

We add all the numbers together, and all the variables

-0.088x^2+235.238=0

a = -0.088; b = 0; c = +235.238;
Δ = b2-4ac
Δ = 02-4·(-0.088)·235.238
Δ = 82.803776
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{82.803776}}{2*-0.088}=\frac{0-\sqrt{82.803776}}{-0.176}
=-\frac{\sqrt{}}{-0.176}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{82.803776}}{2*-0.088}=\frac{0+\sqrt{82.803776}}{-0.176}
=\frac{\sqrt{}}{-0.176}
$