11x(7-5x)=0

Solution for 11x(7-5x)=0 equation:

11x(7-5x)=0

We add all the numbers together, and all the variables

11x(-5x+7)=0

We multiply parentheses

-55x^2+77x=0

a = -55; b = 77; c = 0;
Δ = b2-4ac
Δ = 772-4·(-55)·0
Δ = 5929
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5929}=77$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(77)-77}{2*-55}=\frac{-154}{-110}
=1+2/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(77)+77}{2*-55}=\frac{0}{-110}
=0
$