235m*5m=55555

Solution for 235m*5m=55555 equation:

235m*5m=55555

We move all terms to the left:

235m*5m-(55555)=0

Wy multiply elements

1175m^2-55555=0

a = 1175; b = 0; c = -55555;
Δ = b2-4ac
Δ = 02-4·1175·(-55555)
Δ = 261108500
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{261108500}=\sqrt{100*2611085}=\sqrt{100}*\sqrt{2611085}=10\sqrt{2611085}$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-10\sqrt{2611085}}{2*1175}=\frac{0-10\sqrt{2611085}}{2350}
=-\frac{10\sqrt{2611085}}{2350}
=-\frac{\sqrt{2611085}}{235}
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+10\sqrt{2611085}}{2*1175}=\frac{0+10\sqrt{2611085}}{2350}
=\frac{10\sqrt{2611085}}{2350}
=\frac{\sqrt{2611085}}{235}
$