x^2+x*3-20=60

Solution for x^2+x*3-20=60 equation:

x^2+x*3-20=60

We move all terms to the left:

x^2+x*3-20-(60)=0

We add all the numbers together, and all the variables

x^2+x*3-80=0

Wy multiply elements

x^2+3x-80=0

a = 1; b = 3; c = -80;
Δ = b2-4ac
Δ = 32-4·1·(-80)
Δ = 329
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{-(3)-\sqrt{329}}{2*1}=\frac{-3-\sqrt{329}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+\sqrt{329}}{2*1}=\frac{-3+\sqrt{329}}{2}
$