3.2x-5=3.2x(x-5)

Solution for 3.2x-5=3.2x(x-5) equation:

3.2x-5=3.2x(x-5)

We move all terms to the left:

3.2x-5-(3.2x(x-5))=0


We calculate terms in parentheses: -(3.2x(x-5)), so:

3.2x(x-5)

We multiply parentheses

3x^2-15x

Back to the equation:

-(3x^2-15x)


We get rid of parentheses

-3x^2+3.2x+15x-5=0

We add all the numbers together, and all the variables

-3x^2+18.2x-5=0

a = -3; b = 18.2; c = -5;
Δ = b2-4ac
Δ = 18.22-4·(-3)·(-5)
Δ = 271.24
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{-(18.2)-\sqrt{271.24}}{2*-3}=\frac{-18.2-\sqrt{271.24}}{-6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(18.2)+\sqrt{271.24}}{2*-3}=\frac{-18.2+\sqrt{271.24}}{-6}
$