2-x(4-5x)=6

Solution for 2-x(4-5x)=6 equation:

2-x(4-5x)=6

We move all terms to the left:

2-x(4-5x)-(6)=0

We add all the numbers together, and all the variables

-x(-5x+4)+2-6=0

We add all the numbers together, and all the variables

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

We multiply parentheses

5x^2-4x-4=0

a = 5; b = -4; c = -4;
Δ = b2-4ac
Δ = -42-4·5·(-4)
Δ = 96
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{96}=\sqrt{16*6}=\sqrt{16}*\sqrt{6}=4\sqrt{6}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-4)-4\sqrt{6}}{2*5}=\frac{4-4\sqrt{6}}{10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4)+4\sqrt{6}}{2*5}=\frac{4+4\sqrt{6}}{10}
$