25x=1.5x(x-1)

Solution for 25x=1.5x(x-1) equation:

25x=1.5x(x-1)

We move all terms to the left:

25x-(1.5x(x-1))=0


We calculate terms in parentheses: -(1.5x(x-1)), so:

1.5x(x-1)

We multiply parentheses

x^2-1x

Back to the equation:

-(x^2-1x)


We get rid of parentheses

-x^2+25x+1x=0

We add all the numbers together, and all the variables

-1x^2+26x=0

a = -1; b = 26; c = 0;
Δ = b2-4ac
Δ = 262-4·(-1)·0
Δ = 676
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{676}=26$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(26)-26}{2*-1}=\frac{-52}{-2}
=+26
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(26)+26}{2*-1}=\frac{0}{-2}
=0
$