5m^2-3=127

Solution for 5m^2-3=127 equation:

5m^2-3=127

We move all terms to the left:

5m^2-3-(127)=0

We add all the numbers together, and all the variables

5m^2-130=0

a = 5; b = 0; c = -130;
Δ = b2-4ac
Δ = 02-4·5·(-130)
Δ = 2600
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:

$\sqrt{\Delta}=\sqrt{2600}=\sqrt{100*26}=\sqrt{100}*\sqrt{26}=10\sqrt{26}$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-10\sqrt{26}}{2*5}=\frac{0-10\sqrt{26}}{10}
=-\frac{10\sqrt{26}}{10}
=-\sqrt{26}
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+10\sqrt{26}}{2*5}=\frac{0+10\sqrt{26}}{10}
=\frac{10\sqrt{26}}{10}
=\sqrt{26}
$