-3x(-x+2)-4x+3=3

Solution for -3x(-x+2)-4x+3=3 equation:

-3x(-x+2)-4x+3=3

We move all terms to the left:

-3x(-x+2)-4x+3-(3)=0

We add all the numbers together, and all the variables

-3x(-1x+2)-4x+3-3=0

We add all the numbers together, and all the variables

-4x-3x(-1x+2)=0

We multiply parentheses

3x^2-4x-6x=0

We add all the numbers together, and all the variables

3x^2-10x=0

a = 3; b = -10; c = 0;
Δ = b2-4ac
Δ = -102-4·3·0
Δ = 100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{100}=10$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-10)-10}{2*3}=\frac{0}{6}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-10)+10}{2*3}=\frac{20}{6}
=3+1/3
$