(x)(x-3)=50

Solution for (x)(x-3)=50 equation:

(x)(x-3)=50

We move all terms to the left:

(x)(x-3)-(50)=0

We multiply parentheses

x^2-3x-50=0

a = 1; b = -3; c = -50;
Δ = b2-4ac
Δ = -32-4·1·(-50)
Δ = 209
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{209}}{2*1}=\frac{3-\sqrt{209}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+\sqrt{209}}{2*1}=\frac{3+\sqrt{209}}{2}
$