x+4*x*2x=180

Solution for x+4*x*2x=180 equation:

x+4x*2x=180

We move all terms to the left:

x+4x*2x-(180)=0

Wy multiply elements

8x^2+x-180=0

a = 8; b = 1; c = -180;
Δ = b2-4ac
Δ = 12-4·8·(-180)
Δ = 5761
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-\sqrt{5761}}{2*8}=\frac{-1-\sqrt{5761}}{16}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{5761}}{2*8}=\frac{-1+\sqrt{5761}}{16}
$