5x(3x+1)=50

Solution for 5x(3x+1)=50 equation:

5x(3x+1)=50

We move all terms to the left:

5x(3x+1)-(50)=0

We multiply parentheses

15x^2+5x-50=0

a = 15; b = 5; c = -50;
Δ = b2-4ac
Δ = 52-4·15·(-50)
Δ = 3025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3025}=55$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-55}{2*15}=\frac{-60}{30}
=-2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+55}{2*15}=\frac{50}{30}
=1+2/3
$