18x-35=-5x2

Solution for 18x-35=-5x2 equation:

18x-35=-5x^2

We move all terms to the left:

18x-35-(-5x^2)=0

We get rid of parentheses

5x^2+18x-35=0

a = 5; b = 18; c = -35;
Δ = b2-4ac
Δ = 182-4·5·(-35)
Δ = 1024
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1024}=32$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(18)-32}{2*5}=\frac{-50}{10}
=-5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(18)+32}{2*5}=\frac{14}{10}
=1+2/5
$