5w-3-2w(3w-4)=4

Solution for 5w-3-2w(3w-4)=4 equation:

5w-3-2w(3w-4)=4

We move all terms to the left:

5w-3-2w(3w-4)-(4)=0

We add all the numbers together, and all the variables

5w-2w(3w-4)-7=0

We multiply parentheses

-6w^2+5w+8w-7=0

We add all the numbers together, and all the variables

-6w^2+13w-7=0

a = -6; b = 13; c = -7;
Δ = b2-4ac
Δ = 132-4·(-6)·(-7)
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(13)-1}{2*-6}=\frac{-14}{-12}
=1+1/6
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(13)+1}{2*-6}=\frac{-12}{-12}
=1
$