x(-7x+11)=0

Solution for x(-7x+11)=0 equation:

x(-7x+11)=0

We multiply parentheses

-7x^2+11x=0

a = -7; b = 11; c = 0;
Δ = b2-4ac
Δ = 112-4·(-7)·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*-7}=\frac{-22}{-14}
=1+4/7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(11)+11}{2*-7}=\frac{0}{-14}
=0
$