187=x*4x

Solution for 187=x*4x equation:

187=x*4x

We move all terms to the left:

187-(x*4x)=0

We add all the numbers together, and all the variables

-(+x*4x)+187=0

We get rid of parentheses

-x*4x+187=0

Wy multiply elements

-4x^2+187=0

a = -4; b = 0; c = +187;
Δ = b2-4ac
Δ = 02-4·(-4)·187
Δ = 2992
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:

$\sqrt{\Delta}=\sqrt{2992}=\sqrt{16*187}=\sqrt{16}*\sqrt{187}=4\sqrt{187}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{187}}{2*-4}=\frac{0-4\sqrt{187}}{-8}
=-\frac{4\sqrt{187}}{-8}
=-\frac{\sqrt{187}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{187}}{2*-4}=\frac{0+4\sqrt{187}}{-8}
=\frac{4\sqrt{187}}{-8}
=\frac{\sqrt{187}}{-2}
$