2x(3x+10)=25

Solution for 2x(3x+10)=25 equation:

2x(3x+10)=25

We move all terms to the left:

2x(3x+10)-(25)=0

We multiply parentheses

6x^2+20x-25=0

a = 6; b = 20; c = -25;
Δ = b2-4ac
Δ = 202-4·6·(-25)
Δ = 1000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{1000}=\sqrt{100*10}=\sqrt{100}*\sqrt{10}=10\sqrt{10}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(20)-10\sqrt{10}}{2*6}=\frac{-20-10\sqrt{10}}{12}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(20)+10\sqrt{10}}{2*6}=\frac{-20+10\sqrt{10}}{12}
$