12m^2-25m=7

Solution for 12m^2-25m=7 equation:

12m^2-25m=7

We move all terms to the left:

12m^2-25m-(7)=0

a = 12; b = -25; c = -7;
Δ = b2-4ac
Δ = -252-4·12·(-7)
Δ = 961
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{961}=31$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-25)-31}{2*12}=\frac{-6}{24}
=-1/4
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-25)+31}{2*12}=\frac{56}{24}
=2+1/3
$