5x^2+97x-2=58

Solution for 5x^2+97x-2=58 equation:

5x^2+97x-2=58

We move all terms to the left:

5x^2+97x-2-(58)=0

We add all the numbers together, and all the variables

5x^2+97x-60=0

a = 5; b = 97; c = -60;
Δ = b2-4ac
Δ = 972-4·5·(-60)
Δ = 10609
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{10609}=103$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(97)-103}{2*5}=\frac{-200}{10}
=-20
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(97)+103}{2*5}=\frac{6}{10}
=3/5
$