2x*5x=435600

Solution for 2x*5x=435600 equation:

2x*5x=435600

We move all terms to the left:

2x*5x-(435600)=0

Wy multiply elements

10x^2-435600=0

a = 10; b = 0; c = -435600;
Δ = b2-4ac
Δ = 02-4·10·(-435600)
Δ = 17424000
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:

$\sqrt{\Delta}=\sqrt{17424000}=\sqrt{1742400*10}=\sqrt{1742400}*\sqrt{10}=1320\sqrt{10}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-1320\sqrt{10}}{2*10}=\frac{0-1320\sqrt{10}}{20}
=-\frac{1320\sqrt{10}}{20}
=-66\sqrt{10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+1320\sqrt{10}}{2*10}=\frac{0+1320\sqrt{10}}{20}
=\frac{1320\sqrt{10}}{20}
=66\sqrt{10}
$