7m^2-61m=-40

Solution for 7m^2-61m=-40 equation:

7m^2-61m=-40

We move all terms to the left:

7m^2-61m-(-40)=0

We add all the numbers together, and all the variables

7m^2-61m+40=0

a = 7; b = -61; c = +40;
Δ = b2-4ac
Δ = -612-4·7·40
Δ = 2601
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2601}=51$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-61)-51}{2*7}=\frac{10}{14}
=5/7
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-61)+51}{2*7}=\frac{112}{14}
=8
$