3m^2-21m^2+30m=0

Solution for 3m^2-21m^2+30m=0 equation:

3m^2-21m^2+30m=0

We add all the numbers together, and all the variables

-18m^2+30m=0

a = -18; b = 30; c = 0;
Δ = b2-4ac
Δ = 302-4·(-18)·0
Δ = 900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{900}=30$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(30)-30}{2*-18}=\frac{-60}{-36}
=1+2/3
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(30)+30}{2*-18}=\frac{0}{-36}
=0
$