(x+5)(x-4)=30

Solution for (x+5)(x-4)=30 equation:

(x+5)(x-4)=30

We move all terms to the left:

(x+5)(x-4)-(30)=0

We multiply parentheses ..

(+x^2-4x+5x-20)-30=0

We get rid of parentheses

x^2-4x+5x-20-30=0

We add all the numbers together, and all the variables

x^2+x-50=0

a = 1; b = 1; c = -50;
Δ = b2-4ac
Δ = 12-4·1·(-50)
Δ = 201
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{-(1)-\sqrt{201}}{2*1}=\frac{-1-\sqrt{201}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{201}}{2*1}=\frac{-1+\sqrt{201}}{2}
$