-15x=-12x(x-1)

Solution for -15x=-12x(x-1) equation:

-15x=-12x(x-1)

We move all terms to the left:

-15x-(-12x(x-1))=0


We calculate terms in parentheses: -(-12x(x-1)), so:

-12x(x-1)

We multiply parentheses

-12x^2+12x

Back to the equation:

-(-12x^2+12x)


We get rid of parentheses

12x^2-12x-15x=0

We add all the numbers together, and all the variables

12x^2-27x=0

a = 12; b = -27; c = 0;
Δ = b2-4ac
Δ = -272-4·12·0
Δ = 729
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{729}=27$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-27)-27}{2*12}=\frac{0}{24}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-27)+27}{2*12}=\frac{54}{24}
=2+1/4
$