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

Solution for X^2+2x-x+2-2x^2+6x=0 equation:

X^2+2X-X+2-2X^2+6X=0

We add all the numbers together, and all the variables

-1X^2+7X+2=0

a = -1; b = 7; c = +2;
Δ = b2-4ac
Δ = 72-4·(-1)·2
Δ = 57
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7)-\sqrt{57}}{2*-1}=\frac{-7-\sqrt{57}}{-2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+\sqrt{57}}{2*-1}=\frac{-7+\sqrt{57}}{-2}
$