144m^2=25

Solution for 144m^2=25 equation:

144m^2=25

We move all terms to the left:

144m^2-(25)=0

a = 144; b = 0; c = -25;
Δ = b2-4ac
Δ = 02-4·144·(-25)
Δ = 14400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{14400}=120$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-120}{2*144}=\frac{-120}{288}
=-5/12
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+120}{2*144}=\frac{120}{288}
=5/12
$