2x*5x*10=2x+5

Solution for 2x*5x*10=2x+5 equation:

2x*5x*10=2x+5

We move all terms to the left:

2x*5x*10-(2x+5)=0

Wy multiply elements

100x^2*1-(2x+5)=0

We get rid of parentheses

100x^2*1-2x-5=0

Wy multiply elements

100x^2-2x-5=0

a = 100; b = -2; c = -5;
Δ = b2-4ac
Δ = -22-4·100·(-5)
Δ = 2004
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:

$\sqrt{\Delta}=\sqrt{2004}=\sqrt{4*501}=\sqrt{4}*\sqrt{501}=2\sqrt{501}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2)-2\sqrt{501}}{2*100}=\frac{2-2\sqrt{501}}{200}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+2\sqrt{501}}{2*100}=\frac{2+2\sqrt{501}}{200}
$