7m2=168+35m

Solution for 7m2=168+35m equation:

7m^2=168+35m

We move all terms to the left:

7m^2-(168+35m)=0

We add all the numbers together, and all the variables

7m^2-(35m+168)=0

We get rid of parentheses

7m^2-35m-168=0

a = 7; b = -35; c = -168;
Δ = b2-4ac
Δ = -352-4·7·(-168)
Δ = 5929
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5929}=77$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-35)-77}{2*7}=\frac{-42}{14}
=-3
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-35)+77}{2*7}=\frac{112}{14}
=8
$