7m^2+4=-11m

Solution for 7m^2+4=-11m equation:

7m^2+4=-11m

We move all terms to the left:

7m^2+4-(-11m)=0

We get rid of parentheses

7m^2+11m+4=0

a = 7; b = 11; c = +4;
Δ = b2-4ac
Δ = 112-4·7·4
Δ = 9
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9}=3$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(11)-3}{2*7}=\frac{-14}{14}
=-1
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(11)+3}{2*7}=\frac{-8}{14}
=-4/7
$