X(5-7x)=0

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

X(5-7X)=0

We add all the numbers together, and all the variables

X(-7X+5)=0

We multiply parentheses

-7X^2+5X=0

a = -7; b = 5; c = 0;
Δ = b2-4ac
Δ = 52-4·(-7)·0
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25}=5$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-5}{2*-7}=\frac{-10}{-14}
=5/7
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+5}{2*-7}=\frac{0}{-14}
=0
$