(2m-1)(m-14)=0

Solution for (2m-1)(m-14)=0 equation:

(2m-1)(m-14)=0

We multiply parentheses ..

(+2m^2-28m-1m+14)=0

We get rid of parentheses

2m^2-28m-1m+14=0

We add all the numbers together, and all the variables

2m^2-29m+14=0

a = 2; b = -29; c = +14;
Δ = b2-4ac
Δ = -292-4·2·14
Δ = 729
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{729}=27$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-29)-27}{2*2}=\frac{2}{4}
=1/2
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-29)+27}{2*2}=\frac{56}{4}
=14
$