X2-3x=3x2-4x

Solution for X2-3x=3x2-4x equation:

X2-3X=3X^2-4X

We move all terms to the left:

X2-3X-(3X^2-4X)=0

We add all the numbers together, and all the variables

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

We get rid of parentheses

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

We add all the numbers together, and all the variables

-2X^2+X=0

a = -2; b = 1; c = 0;
Δ = b2-4ac
Δ = 12-4·(-2)·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

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