-12x(x-1)=-3(x-1)

Solution for -12x(x-1)=-3(x-1) equation:

-12x(x-1)=-3(x-1)

We move all terms to the left:

-12x(x-1)-(-3(x-1))=0

We multiply parentheses

-12x^2+12x-(-3(x-1))=0


We calculate terms in parentheses: -(-3(x-1)), so:

-3(x-1)

We multiply parentheses

-3x+3

Back to the equation:

-(-3x+3)


We get rid of parentheses

-12x^2+12x+3x-3=0

We add all the numbers together, and all the variables

-12x^2+15x-3=0

a = -12; b = 15; c = -3;
Δ = b2-4ac
Δ = 152-4·(-12)·(-3)
Δ = 81
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{81}=9$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(15)-9}{2*-12}=\frac{-24}{-24}
=1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(15)+9}{2*-12}=\frac{-6}{-24}
=1/4
$