m^2-3.5m=1.5

Solution for m^2-3.5m=1.5 equation:

m^2-3.5m=1.5

We move all terms to the left:

m^2-3.5m-(1.5)=0

We add all the numbers together, and all the variables

m^2-3.5m-1.5=0

a = 1; b = -3.5; c = -1.5;
Δ = b2-4ac
Δ = -3.52-4·1·(-1.5)
Δ = 18.25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3.5)-\sqrt{18.25}}{2*1}=\frac{3.5-\sqrt{18.25}}{2}
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3.5)+\sqrt{18.25}}{2*1}=\frac{3.5+\sqrt{18.25}}{2}
$