2x(12x+5)=25

Solution for 2x(12x+5)=25 equation:

2x(12x+5)=25

We move all terms to the left:

2x(12x+5)-(25)=0

We multiply parentheses

24x^2+10x-25=0

a = 24; b = 10; c = -25;
Δ = b2-4ac
Δ = 102-4·24·(-25)
Δ = 2500
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2500}=50$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(10)-50}{2*24}=\frac{-60}{48}
=-1+1/4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10)+50}{2*24}=\frac{40}{48}
=5/6
$