2m^2-6m=92m

Solution for 2m^2-6m=92m equation:

2m^2-6m=92m

We move all terms to the left:

2m^2-6m-(92m)=0

We add all the numbers together, and all the variables

2m^2-98m=0

a = 2; b = -98; c = 0;
Δ = b2-4ac
Δ = -982-4·2·0
Δ = 9604
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9604}=98$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-98)-98}{2*2}=\frac{0}{4}
=0
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-98)+98}{2*2}=\frac{196}{4}
=49
$