3m-2m(m+7)=2m-14

Solution for 3m-2m(m+7)=2m-14 equation:

3m-2m(m+7)=2m-14

We move all terms to the left:

3m-2m(m+7)-(2m-14)=0

We multiply parentheses

-2m^2+3m-14m-(2m-14)=0

We get rid of parentheses

-2m^2+3m-14m-2m+14=0

We add all the numbers together, and all the variables

-2m^2-13m+14=0

a = -2; b = -13; c = +14;
Δ = b2-4ac
Δ = -132-4·(-2)·14
Δ = 281
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{-(-13)-\sqrt{281}}{2*-2}=\frac{13-\sqrt{281}}{-4}
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-13)+\sqrt{281}}{2*-2}=\frac{13+\sqrt{281}}{-4}
$