7m^2-49m=-79

Solution for 7m^2-49m=-79 equation:

7m^2-49m=-79

We move all terms to the left:

7m^2-49m-(-79)=0

We add all the numbers together, and all the variables

7m^2-49m+79=0

a = 7; b = -49; c = +79;
Δ = b2-4ac
Δ = -492-4·7·79
Δ = 189
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{189}=\sqrt{9*21}=\sqrt{9}*\sqrt{21}=3\sqrt{21}$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-49)-3\sqrt{21}}{2*7}=\frac{49-3\sqrt{21}}{14}
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-49)+3\sqrt{21}}{2*7}=\frac{49+3\sqrt{21}}{14}
$