450/25m=m

Solution for 450/25m=m equation:

450/25m=m

We move all terms to the left:

450/25m-(m)=0


Domain of the equation: 25m!=0

m!=0/25

m!=0

m∈R


We add all the numbers together, and all the variables

-1m+450/25m=0

We multiply all the terms by the denominator


-1m*25m+450=0

Wy multiply elements

-25m^2+450=0

a = -25; b = 0; c = +450;
Δ = b2-4ac
Δ = 02-4·(-25)·450
Δ = 45000
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:

$\sqrt{\Delta}=\sqrt{45000}=\sqrt{22500*2}=\sqrt{22500}*\sqrt{2}=150\sqrt{2}$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-150\sqrt{2}}{2*-25}=\frac{0-150\sqrt{2}}{-50}
=-\frac{150\sqrt{2}}{-50}
=-\frac{3\sqrt{2}}{-1}
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+150\sqrt{2}}{2*-25}=\frac{0+150\sqrt{2}}{-50}
=\frac{150\sqrt{2}}{-50}
=\frac{3\sqrt{2}}{-1}
$