x(2x-9)=425

Solution for x(2x-9)=425 equation:

x(2x-9)=425

We move all terms to the left:

x(2x-9)-(425)=0

We multiply parentheses

2x^2-9x-425=0

a = 2; b = -9; c = -425;
Δ = b2-4ac
Δ = -92-4·2·(-425)
Δ = 3481
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3481}=59$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-9)-59}{2*2}=\frac{-50}{4}
=-12+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-9)+59}{2*2}=\frac{68}{4}
=17
$