4x-2x(x-5)=-4+5x+2

Solution for 4x-2x(x-5)=-4+5x+2 equation:

4x-2x(x-5)=-4+5x+2

We move all terms to the left:

4x-2x(x-5)-(-4+5x+2)=0

We add all the numbers together, and all the variables

4x-2x(x-5)-(5x-2)=0

We multiply parentheses

-2x^2+4x+10x-(5x-2)=0

We get rid of parentheses

-2x^2+4x+10x-5x+2=0

We add all the numbers together, and all the variables

-2x^2+9x+2=0

a = -2; b = 9; c = +2;
Δ = b2-4ac
Δ = 92-4·(-2)·2
Δ = 97
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{-(9)-\sqrt{97}}{2*-2}=\frac{-9-\sqrt{97}}{-4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+\sqrt{97}}{2*-2}=\frac{-9+\sqrt{97}}{-4}
$