(-m+2)(m+7)=0

Solution for (-m+2)(m+7)=0 equation:

(-m+2)(m+7)=0

We add all the numbers together, and all the variables

(-1m+2)(m+7)=0

We multiply parentheses ..

(-1m^2-7m+2m+14)=0

We get rid of parentheses

-1m^2-7m+2m+14=0

We add all the numbers together, and all the variables

-1m^2-5m+14=0

a = -1; b = -5; c = +14;
Δ = b2-4ac
Δ = -52-4·(-1)·14
Δ = 81
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{81}=9$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-5)-9}{2*-1}=\frac{-4}{-2}
=+2
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+9}{2*-1}=\frac{14}{-2}
=-7
$