3m^2=675

Solution for 3m^2=675 equation:

3m^2=675

We move all terms to the left:

3m^2-(675)=0

a = 3; b = 0; c = -675;
Δ = b2-4ac
Δ = 02-4·3·(-675)
Δ = 8100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{8100}=90$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-90}{2*3}=\frac{-90}{6}
=-15
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+90}{2*3}=\frac{90}{6}
=15
$