3x+2x(x-5)=50

Solution for 3x+2x(x-5)=50 equation:

3x+2x(x-5)=50

We move all terms to the left:

3x+2x(x-5)-(50)=0

We multiply parentheses

2x^2+3x-10x-50=0

We add all the numbers together, and all the variables

2x^2-7x-50=0

a = 2; b = -7; c = -50;
Δ = b2-4ac
Δ = -72-4·2·(-50)
Δ = 449
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{-(-7)-\sqrt{449}}{2*2}=\frac{7-\sqrt{449}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+\sqrt{449}}{2*2}=\frac{7+\sqrt{449}}{4}
$