X(x-3)=4-3x

Solution for X(x-3)=4-3x equation:

X(X-3)=4-3X

We move all terms to the left:

X(X-3)-(4-3X)=0

We add all the numbers together, and all the variables

X(X-3)-(-3X+4)=0

We multiply parentheses

X^2-3X-(-3X+4)=0

We get rid of parentheses

X^2-3X+3X-4=0

We add all the numbers together, and all the variables

X^2-4=0

a = 1; b = 0; c = -4;
Δ = b2-4ac
Δ = 02-4·1·(-4)
Δ = 16
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16}=4$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4}{2*1}=\frac{-4}{2}
=-2
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4}{2*1}=\frac{4}{2}
=2
$