-2.5x+2=0.5x(8-6x)

Solution for -2.5x+2=0.5x(8-6x) equation:

-2.5x+2=0.5x(8-6x)

We move all terms to the left:

-2.5x+2-(0.5x(8-6x))=0

We add all the numbers together, and all the variables

-2.5x-(0.5x(-6x+8))+2=0


We calculate terms in parentheses: -(0.5x(-6x+8)), so:

0.5x(-6x+8)

We multiply parentheses

0x^2+0x

We add all the numbers together, and all the variables

x^2+x

Back to the equation:

-(x^2+x)


We get rid of parentheses

-x^2-2.5x-x+2=0

We add all the numbers together, and all the variables

-1x^2-3.5x+2=0

a = -1; b = -3.5; c = +2;
Δ = b2-4ac
Δ = -3.52-4·(-1)·2
Δ = 20.25
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{-(-3.5)-\sqrt{20.25}}{2*-1}=\frac{3.5-\sqrt{20.25}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3.5)+\sqrt{20.25}}{2*-1}=\frac{3.5+\sqrt{20.25}}{-2}
$