6x(2x+50)=7200

Solution for 6x(2x+50)=7200 equation:

6x(2x+50)=7200

We move all terms to the left:

6x(2x+50)-(7200)=0

We multiply parentheses

12x^2+300x-7200=0

a = 12; b = 300; c = -7200;
Δ = b2-4ac
Δ = 3002-4·12·(-7200)
Δ = 435600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{435600}=660$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(300)-660}{2*12}=\frac{-960}{24}
=-40
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(300)+660}{2*12}=\frac{360}{24}
=15
$