3x(4x-1)=180

Solution for 3x(4x-1)=180 equation:

3x(4x-1)=180

We move all terms to the left:

3x(4x-1)-(180)=0

We multiply parentheses

12x^2-3x-180=0

a = 12; b = -3; c = -180;
Δ = b2-4ac
Δ = -32-4·12·(-180)
Δ = 8649
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{8649}=93$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3)-93}{2*12}=\frac{-90}{24}
=-3+3/4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+93}{2*12}=\frac{96}{24}
=4
$