(-74+35x+x^2)=0

Solution for (-74+35x+x^2)=0 equation:

(-74+35x+x^2)=0

We get rid of parentheses

x^2+35x-74=0

a = 1; b = 35; c = -74;
Δ = b2-4ac
Δ = 352-4·1·(-74)
Δ = 1521
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1521}=39$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(35)-39}{2*1}=\frac{-74}{2}
=-37
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(35)+39}{2*1}=\frac{4}{2}
=2
$