3x(x+14)=180

Solution for 3x(x+14)=180 equation:

3x(x+14)=180

We move all terms to the left:

3x(x+14)-(180)=0

We multiply parentheses

3x^2+42x-180=0

a = 3; b = 42; c = -180;
Δ = b2-4ac
Δ = 422-4·3·(-180)
Δ = 3924
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:

$\sqrt{\Delta}=\sqrt{3924}=\sqrt{36*109}=\sqrt{36}*\sqrt{109}=6\sqrt{109}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(42)-6\sqrt{109}}{2*3}=\frac{-42-6\sqrt{109}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(42)+6\sqrt{109}}{2*3}=\frac{-42+6\sqrt{109}}{6}
$