7m=7m^2+14m

Solution for 7m=7m^2+14m equation:

7m=7m^2+14m

We move all terms to the left:

7m-(7m^2+14m)=0

We get rid of parentheses

-7m^2+7m-14m=0

We add all the numbers together, and all the variables

-7m^2-7m=0

a = -7; b = -7; c = 0;
Δ = b2-4ac
Δ = -72-4·(-7)·0
Δ = 49
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{49}=7$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-7)-7}{2*-7}=\frac{0}{-14}
=0
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+7}{2*-7}=\frac{14}{-14}
=-1
$