0.4(x-4)0.6x=1.4

Solution for 0.4(x-4)0.6x=1.4 equation:

0.4(x-4)0.6x=1.4

We move all terms to the left:

0.4(x-4)0.6x-(1.4)=0

We add all the numbers together, and all the variables

0.4(x-4)0.6x-1.4=0

We multiply parentheses

0x^2+0x-1.4=0

We add all the numbers together, and all the variables

x^2+x-1.4=0

a = 1; b = 1; c = -1.4;
Δ = b2-4ac
Δ = 12-4·1·(-1.4)
Δ = 6.6
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{-(1)-\sqrt{6.6}}{2*1}=\frac{-1-\sqrt{6.6}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{6.6}}{2*1}=\frac{-1+\sqrt{6.6}}{2}
$