7m^2=16m-4

Solution for 7m^2=16m-4 equation:

7m^2=16m-4

We move all terms to the left:

7m^2-(16m-4)=0

We get rid of parentheses

7m^2-16m+4=0

a = 7; b = -16; c = +4;
Δ = b2-4ac
Δ = -162-4·7·4
Δ = 144
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{144}=12$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-16)-12}{2*7}=\frac{4}{14}
=2/7
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-16)+12}{2*7}=\frac{28}{14}
=2
$