-2x^+8x=6x^2-4x^2

Solution for -2x^+8x=6x^2-4x^2 equation:

-2x^+8x=6x^2-4x^2

We move all terms to the left:

-2x^+8x-(6x^2-4x^2)=0

We add all the numbers together, and all the variables

-(6x^2-4x^2)+6x=0

We get rid of parentheses

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

We add all the numbers together, and all the variables

-2x^2+6x=0

a = -2; b = 6; c = 0;
Δ = b2-4ac
Δ = 62-4·(-2)·0
Δ = 36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36}=6$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-6}{2*-2}=\frac{-12}{-4}
=+3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+6}{2*-2}=\frac{0}{-4}
=0
$