-5x(x-1)=6x(x-1)

Solution for -5x(x-1)=6x(x-1) equation:

-5x(x-1)=6x(x-1)

We move all terms to the left:

-5x(x-1)-(6x(x-1))=0

We multiply parentheses

-5x^2+5x-(6x(x-1))=0


We calculate terms in parentheses: -(6x(x-1)), so:

6x(x-1)

We multiply parentheses

6x^2-6x

Back to the equation:

-(6x^2-6x)


We get rid of parentheses

-5x^2-6x^2+5x+6x=0

We add all the numbers together, and all the variables

-11x^2+11x=0

a = -11; b = 11; c = 0;
Δ = b2-4ac
Δ = 112-4·(-11)·0
Δ = 121
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{121}=11$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(11)-11}{2*-11}=\frac{-22}{-22}
=1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(11)+11}{2*-11}=\frac{0}{-22}
=0
$