35m^2-51m+12=-7m

Solution for 35m^2-51m+12=-7m equation:

35m^2-51m+12=-7m

We move all terms to the left:

35m^2-51m+12-(-7m)=0

We get rid of parentheses

35m^2-51m+7m+12=0

We add all the numbers together, and all the variables

35m^2-44m+12=0

a = 35; b = -44; c = +12;
Δ = b2-4ac
Δ = -442-4·35·12
Δ = 256
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{256}=16$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-44)-16}{2*35}=\frac{28}{70}
=2/5
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-44)+16}{2*35}=\frac{60}{70}
=6/7
$