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

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

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

We move all terms to the left:

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

We multiply parentheses

10w^2-6w-(5w-3)=0

We get rid of parentheses

10w^2-6w-5w+3=0

We add all the numbers together, and all the variables

10w^2-11w+3=0

a = 10; b = -11; c = +3;
Δ = b2-4ac
Δ = -112-4·10·3
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{-(-11)-1}{2*10}=\frac{10}{20}
=1/2
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+1}{2*10}=\frac{12}{20}
=3/5
$