2x*5x=182

Solution for 2x*5x=182 equation:

2x*5x=182

We move all terms to the left:

2x*5x-(182)=0

Wy multiply elements

10x^2-182=0

a = 10; b = 0; c = -182;
Δ = b2-4ac
Δ = 02-4·10·(-182)
Δ = 7280
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:

$\sqrt{\Delta}=\sqrt{7280}=\sqrt{16*455}=\sqrt{16}*\sqrt{455}=4\sqrt{455}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{455}}{2*10}=\frac{0-4\sqrt{455}}{20}
=-\frac{4\sqrt{455}}{20}
=-\frac{\sqrt{455}}{5}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{455}}{2*10}=\frac{0+4\sqrt{455}}{20}
=\frac{4\sqrt{455}}{20}
=\frac{\sqrt{455}}{5}
$