0=x(6x-7)

Solution for 0=x(6x-7) equation:

0=x(6x-7)

We move all terms to the left:

0-(x(6x-7))=0

We add all the numbers together, and all the variables

-(x(6x-7))=0


We calculate terms in parentheses: -(x(6x-7)), so:

x(6x-7)

We multiply parentheses

6x^2-7x

Back to the equation:

-(6x^2-7x)


We get rid of parentheses

-6x^2+7x=0

a = -6; b = 7; c = 0;
Δ = b2-4ac
Δ = 72-4·(-6)·0
Δ = 49
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{49}=7$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7)-7}{2*-6}=\frac{-14}{-12}
=1+1/6
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+7}{2*-6}=\frac{0}{-12}
=0
$