3m^2-22=-7m

Solution for 3m^2-22=-7m equation:

3m^2-22=-7m

We move all terms to the left:

3m^2-22-(-7m)=0

We get rid of parentheses

3m^2+7m-22=0

a = 3; b = 7; c = -22;
Δ = b2-4ac
Δ = 72-4·3·(-22)
Δ = 313
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7)-\sqrt{313}}{2*3}=\frac{-7-\sqrt{313}}{6}
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+\sqrt{313}}{2*3}=\frac{-7+\sqrt{313}}{6}
$