2x(0.5+x+x)=4.8

Solution for 2x(0.5+x+x)=4.8 equation:

2x(0.5+x+x)=4.8

We move all terms to the left:

2x(0.5+x+x)-(4.8)=0

We add all the numbers together, and all the variables

2x(2x+0.5)-(4.8)=0

We add all the numbers together, and all the variables

2x(2x+0.5)-4.8=0

We multiply parentheses

4x^2+x-4.8=0

a = 4; b = 1; c = -4.8;
Δ = b2-4ac
Δ = 12-4·4·(-4.8)
Δ = 77.8
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{77.8}}{2*4}=\frac{-1-\sqrt{77.8}}{8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{77.8}}{2*4}=\frac{-1+\sqrt{77.8}}{8}
$